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<title>Critical Thinking, Math 110, Fall 2022</title>
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<center><h1>
Math 110, Fall 2022<br>
Critical Thinking
</h1>
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<center>
<h2>General Information</h2></center>
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<th><a href="#classes">Classes</a> </th>
<th><a href="#instructor">Instructor</a> </th>
<th><a href="#textbk">Texts</a> </th>
<th><a href="#outcomes">Official Course Description and Outcomes</a></th>
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<th><a href="#dates">Important Dates</a></th>
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<ul>
<li> <b>Class: Monday, Wednesday, Friday. 11:30am to 12:20 in Viasat Engineering Pavilion (VEP) 5107</b>
<!--<a href="https://maps.uconn.edu/m/info/MONT" target="_blank"><font color="blue">MONT</font></a> 112. -->
<br />
<!-- Before each class there will be assigned reading. Your "ticket" to class will be one question/thing you found confusing/difficult/cool about
the reading.
At the beginning of class you'll put these on a post-it note and stick it to the whiteboard. The questions will motivate our class and
the problems we work on together. -->
<li>Class meetings will have elements of lecture, but also elements of discussion and problem solving sessions.
Be prepared to share and discuss mathematics with others.
<br />
<li> <b><a href="CriticalThinkingCourseSchedule.pdf" target="_blank"><font color="blue">Course Schedule</font></a> </b>
<br />
<!-- <li> A mask covering your nose and mouth is required in class.
See <a href="https://covid.uconn.edu/campus-guidelines/" target="_blank"><font color="blue">UConn's campus guidelines</font></a>.-->
<li><b>If you are feeling a bit under the weather, please wear a mask. If you are very sick, do not come to class.
You will not be penalized for taking care of yourself and stopping the spread of disease.</b></li>
<br />
<li><b>CSUSM has implemented a <a href="https://www.csusm.edu/fc/teachingandlearning/pre-semester-checklist.html" target="_blank">
<font color="blue">temporary masking requirement</font></a> for the first two weeks of class. Thus, masks
will be required in class for the first two weeks.</b></li>
<br />
<li><b>Administrative Drop: </b> If you do not attend the first week of classes and you do not email me to let me know
why you will be missing the first week of class, then you will be
<a href="https://www.csusm.edu/enroll/services/administrative_drop.html" target="_blank">
<font color="blue">administratively dropped</font></a>. </li>
</ul>
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<th align="left"><a name="instructor"></a> Instructor</th>
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<ul>
<li><b>Instructor:</b> <a href="https://www.hansonsmath.info/" target="_blank"><font color="blue">Hanson Smith</font></a>
<li><b>Office:</b> CRA 6134
<br />
<li><b>E-mail:</b> <a href="mailto:[email protected]"><font color="blue">hsmith at csusm dot edu</font></a>
<li><b>Office Hours:</b> Mon. 2:30-3:30, Wed. 2:00-3:00, Fri. 1:30-2:30, and by appointment. </br>
<li><b>Canvas:</b> We will be using
<a href="https://csusm.instructure.com/" target="_blank"><font color="blue">Canvas</font></a>
as a delivery system for some aspects of this class. Email will be the primary mode of communication however.
</ul>
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<th align="left"><a name="textbk"></a>Texts</th>
</tr>
</tbody>
</table>
</p>
We will use a variety of different texts and sources in this course.
I've compiled them so that they are either available for free online or I can provide you with a scan of the relevant chapters.
<li><a href="http://www.mat.ufrgs.br/~portosil/curso-Devlin.pdf" target="_blank">
<font color="blue"><b><i>Introduction to Mathematical Thinking</i> by Keith Devlin</b></font></a>
<br />
<!-- <li><a href="https://digitalcommons.ursinus.edu/triumphs_statistics/6/" target="_blank">
<font color="blue"><b><i>Representing and Interpreting Data</i> a primary source project by White, Bond, Eastes, and Janani</b></font></a> <br /> -->
<li><a href="https://en.wikipedia.org/wiki/Weapons_of_Math_Destruction" target="_blank">
<font color="blue"><b><i>Weapons of Math Destruction</i> by Cathy O'Neil</b></font></a>
<br />
<li><a href="https://en.wikipedia.org/wiki/Algorithms_of_Oppression" target="_blank">
<font color="blue"><b><i>Algorithms of Oppression</i> by Safiya Umoja Noble</b></font></a> <br />
<li><a href="https://www.math.brown.edu/johsilve/frint.html" target="_blank">
<font color="blue"><b><i>A Friendly Introduction to Number Theory</i> by Joseph H. Silverman</b></font></a> <br />
<li><a href="https://farside.ph.utexas.edu/books/Euclid/Elements.pdf" target="_blank">
<font color="blue"><b><i>Elements</i> by Euclid</b></font></a> <br />
<li><a href="http://classics.mit.edu/Plato/meno.html" target="_blank">
<font color="blue"><b><i>Meno</i> by Plato</b></font></a> <br />
<li><a href="http://faculty.smcm.edu/jwschroeder/Web/ETHR1002/Global_Jutice_Readings_files/3.PlatoRepblic.pdf" target="_blank">
<font color="blue"><b>The Allegory of the Cave from <i>Republic</i> by Plato</b></font></a> <br />
<li><a href="https://www.archives.gov/founding-docs/declaration-transcript" target="_blank">
<font color="blue"><b><i>The Declaration of Independence</i></b></font></a> <br />
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<p>
<table bgcolor="#ACB6F8" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="outcomes"></a> Official Course Description and Outcomes</th>
</tr>
</tbody>
</table>
</p>
<p><b>Course Description from Catalog: </b>
Critical thinking in decision-making. Formal and informal fallacies of language and thought; the often unreliable guide of common-sense reasoning; analysis and criticism of ideas; distinction between fact and judgment, belief and knowledge; inductive and deductive arguments; and effective techniques of decision-making. Students will learn critical thinking skills to apply to common issues of everyday life.
</p>
<p style="text-align:left">
<b>Critical Thinking Learning Outcomes</b>
<br />
• A3.1: Distinguish matters of fact from issues of judgment or opinion and derive factual or
judgmental inferences from unambiguous statements of knowledge or belief. <br />
• A3.2: Judge the reliability and credibility of sources. <br />
• A3.3: Effectively argue a point of view by clarifying the issues, focusing on the pertinent issues, and staying relevant to the topic. <br />
• A3.4: Understand the nature of inductive and deductive reasoning, identify formal and informal fallacies of reasoning,
and employ various methods for testing the strength, soundness, and validity of different argument forms. <br />
• A3.5: Understand the basic concepts of meaning (sense, reference, connotation, etc.) and identify different methods of word definition. <br />
• A3.6: Understand logic and its relationship to language by identifying the basic components of reasoning, including the propositional content of statements, the functions of premises and conclusions in the makeup of arguments, the linkage between evidence and inference, and the rules of inference and logical equivalence.
</p>
<li> Please consider how what we are doing in this course relates to the outcomes above.
I have thought extensively about how each level of this scaffolding supports the next and my justification of the course design is below,
but I would love to hear about ways
the course and our ability to meet our goals can be improved.
<br />
<p style="text-align:left">
<b>My description of how the design of the course promotes these outcomes:</b><br />
          Outcomes A3.4, A3.5, and A3.6 will be confronted extensively in the first four weeks of the course from the standpoint of mathematics.
However, the text used for this portion of the course engages with mathematical thinking by contrast with “conventional”
(often inductive and anecdotal) reasoning. Thus, outcomes A3.1-A3.3 will be addressed in a secondary manner in the first four weeks of the course.
Week five will be focused on writing an essay addressing the following prompt: “Compare and contrast mathematical argument and ‘conventional argument.’”
This will sharpen student’s understanding of logic, reasoning, and meaning (A3.4-6) while simultaneously asking them to define
critical thinking in contrast to more passive, everyday “thinking.” <br />
          With weeks six and seven, the course will pivot to looking at various critiques, condemnations, and celebrations of
current corporate manifestations of mathematical thinking. With their understanding of mathematical thinking well-developed
from the first five weeks of the course, students will have to engage with these sources to separate matters of fact from opinion (A3.1),
evaluate the reliability of the evidence presented (A3.2), and argue their own thesis (A2.2) answering,
“How has mathematics been used on you and how can you respond to it?” Students will be prepared for this task not only by reading the material,
but by in-class discussions with their peers. <br />
          Weeks eight through ten will be devoted to an introduction to number theory.
This more traditional mathematical material will build towards outcome A3.4-A3.6
while also giving students skills that will help them in future STEM courses. Students will demonstrate these skills with an in-class midterm. <br />
          After the midterm, we will shift to Euclid’s Elements.
This text is one of the pillars on which modern mathematics is built; however,
it is also over 2,000 years old and does not always meet the standards of modern mathematical reasoning.
We will read and discuss this text critically in class so as to simultaneously understand the mathematical ideas and tools
Euclid is building while also being skeptical of the work. This critical discussion of a fundamental historical math text
is an objective that naturally builds toward all six learning outcomes (A3.1-A3.6)
with a special emphasis toward the first three outcomes (A3.1-A3.3). It is a daunting,
but immensely rewarding task to use one’s budding mathematical skills to critique an ancient text that is one of the pillars of Western thought.
After three weeks of Euclid, we will spend weeks 14 and 15 analyzing how
the Elements has impacted Western thought by reading Plato, Descartes, and the Declaration of Independence.
These two weeks will help students develop the ideas to write the final essay of the course where they
will answer how the axiomatic approach of Euclid has affected our world today. As objectives, the discussions of these final two weeks
blend skills that are requisite for all six learning outcomes (A3.1-A3.6) for the course. Moreover, students will produce a final essay
that shows a high level of mastery of and significant progress toward all six learning outcomes.
This essay will simultaneously allow students to create an authentic definition of ‘critical thinking’ in comparison
with Western thought.
Thus, there is an important aspect of meta-learning whereby students must think critically in their own context in order to
deconstruct the westernized notion of what constitutes “critical thinking.”
</p>
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<p>
<table bgcolor="#ACB6F8" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
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<th align="left"><a name="content"></a>Course Content</th>
</tr>
</tbody>
</table>
</p>
<p width="80%">
Here are some of the big picture topics we will attempt to cover. This will almost certainly change slightly as the course
goes on based on what students are interested in.
<li> Mathematical thinking and reasoning: <a href="http://www.mat.ufrgs.br/~portosil/curso-Devlin.pdf" target="_blank">
<font color="blue"><b><i>Introduction to Mathematical Thinking</i> by Keith Devlin</b></font></a> <br />
<br />
<li> Algorithms in the "real world:" <a href="https://en.wikipedia.org/wiki/Weapons_of_Math_Destruction" target="_blank">
<font color="blue"><b><i>Weapons of Math Destruction</i> by Cathy O'Neil</b></font></a>,
<a href="https://en.wikipedia.org/wiki/Algorithms_of_Oppression" target="_blank">
<font color="blue"><b><i>Algorithms of Oppression</i> by Safiya Umoja Noble</b></font></a>, and other articles. <br />
<br />
<li> Number theory (This is the area of mathematics that my research is in!):
<a href="https://www.math.brown.edu/johsilve/frint.html" target="_blank">
<font color="blue"><b><i>A Friendly Introduction to Number Theory</i> by Joseph H. Silverman</b></font></a> <br />
<br />
<li> Geometry via Euclid: <a href="https://farside.ph.utexas.edu/books/Euclid/Elements.pdf" target="_blank">
<font color="blue"><b><i>Elements</i> by Euclid</b></font></a> <br />
<br />
<li> The axiomatic method and Western thought: <a href="http://classics.mit.edu/Plato/meno.html" target="_blank">
<font color="blue"><b><i>Meno</i> by Plato</b></font></a>,
<a href="http://faculty.smcm.edu/jwschroeder/Web/ETHR1002/Global_Jutice_Readings_files/3.PlatoRepblic.pdf" target="_blank">
<font color="blue"><b>The Allegory of the Cave from <i>Republic</i> by Plato</b></font></a>,
<a href="https://www.archives.gov/founding-docs/declaration-transcript" target="_blank">
<font color="blue"><b><i>The Declaration of Independence</i></b></font></a> <br />
<br />
</p>
<br />
More details can be found in the <b><a href="CriticalThinkingCourseSchedule.pdf" target="_blank"><font color="blue">Course Schedule</font></a>.</b>
Note that things will almost surely change and get shifted around as the semester progresses. I'll keep you abreast of any changes via
in-class communication, email, and by updating the course schedule.
<br />
<!-- There are numerous great resources online. Feel free to use external resources to help with your studying.
Please share if you find anything particularly helpful.--> <!-- Here are a few I found. Let me know if you find others that you think are
helpful. <br />
<li> <a href="http://www.numbertheory.org/ntw/lecture_notes.html">A very extensive list of number theory lecture notes</a> <br />
<li> <a href="https://ocw.mit.edu/courses/mathematics/18-781-theory-of-numbers-spring-2012/">MIT OpenCourse content</a> <br />
<li><a href="https://www.youtube.com/watch?v=19SW3P_PRHQ">A random lecture that claims to cover the whole course and more in two and a half hours.</a> <br />-->
<br />
<br />
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#8594F7" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="dates"></a>Important Dates</th>
</tr>
</tbody>
</table>
</p>
<p>
<!-- table of dates <font size="+1">-->
<p></p>
<table align="center" border="2" cellpadding="4" cellspacing="2" width="80%">
<tbody>
<tr><th>Monday, August 29</th> <th>First Day of Class</th></tr>
<tr><th>Monday, October 3</th><th>Essay due in class</th></tr>
<tr><th>Monday, October 24</th><th>Essay due in class</th></tr>
<tr><th>Monday November 7</font></th> <th>Midterm</th></tr>
<tr><th>Wednesday, November 23</th><th>Geometry Quiz</th></tr>
<tr><th>Friday, December 9 </th> <th>Last Day of Class</th></tr>
<tr><th>Wednesday, December 14 </th> <th> Final Essay due 11:59 pm </th></tr>
</tbody>
</table>
<br />
<li> More details can be found in the <b><a href="CriticalThinkingCourseSchedule.pdf" target="_blank"><font color="blue">Course Schedule</font></a>.</b>
Note that things will almost surely change and get shifted around as the semester progresses. I'll keep you abreast of any changes via
in-class communication, email, and by updating the course schedule.
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#8594F7" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="grades"></a> Grades</th>
</tr>
</tbody>
</table>
</p>
<p>
What are grades? What purpose do they serve? What do they mean? <a href="https://www.jessestommel.com/how-to-ungrade/" target="_blank"><font color="blue">
This blog post</font></a> outlines some problems with grades.
</p>
<p>
The following is the grading scheme that I would like to implement for the course.
I feel it strikes a balance between a variety of different manners of doing and presenting mathematics.
Please let me know if you would like to see any changes.
I would like everyone to understand how grades are calculated. <br />
<li>Homework: 15%
<li>Essay 1: 15%
<li>Essay 2: 15%
<li>Midterm: 25%
<li>Geometry Quiz: 10%
<li>Final Essay: 20%
</p>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p><table bgcolor="#8594F7" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="hw"></a>Homework and Essays</th>
</tr>
</tbody>
</table>
</p>
<b><u>Homework</u></b>
<p>
There will be around four homework assignments this semester. The
homework assignments will be posted in
<b><a href="https://csusm.instructure.com/courses/3459/modules" target="_blank">
<font color="blue">the modules tab in Canvas</font></a></b>.
They will be created by me and will feature exercises relevant to what we are learning and things I find interesting.
Due dates for homework assignments are given in the
<b><a href="CriticalThinkingCourseSchedule.pdf" target="_blank"><font color="blue">Course Schedule</font></a></b>.
Generally, the homework is due on Sundays at 11:59 pm via
<b><a href="https://www.gradescope.com/courses/439002/assignments" target="_blank"><font color="blue">Gradescope</font></a></b>.
<br />
<br />
I will usually grade one or two homework problems in-depth and grade the rest for completion.
As the semester progresses, our standards for mathematical writing and logical argument will become higher.
The midterm and quiz will feature problems that are remarkably similar to the homework or to problems we work in class,
so spending time completing homework to perfection is
doubly advantageous. <br />
<!-- <b>Physical homework without a staple and/or with "frills" will not be accepted.</b> -->
<!--<br />
<li> <a href="Homework0.pdf" ><font color="blue"><b>Homework 0</b></font></a>
<br />
<br />
<li> <a href="Homework1.pdf" ><font color="blue"><b>Homework 1</b></font></a>
<br />
<br />
<li> <a href="Homework2.pdf" ><font color="blue"><b>Homework 2</b></font></a>
<br />
<br />
<li> <a href="Homework3.pdf" ><font color="blue"><b>Homework 3</b></font></a>
<br />
<br />
<li> <a href="Homework4.pdf" ><font color="blue"><b>Homework 4</b></font></a>
<br />
<br />
<li> <a href="Homework5.pdf" ><font color="blue"><b>Homework 5</b></font></a>
<br />
<br />
<li> <a href="Homework6.pdf" ><font color="blue"><b>Homework 6</b></font></a>
<br />
<br />
<li> <a href="Homework7.pdf" ><font color="blue"><b>Homework 7</b></font></a>
<br />
<br />
<li> <a href="Homework8.pdf" ><font color="blue"><b>Homework 8</b></font></a>
<br />-->
<p>It is natural and expected to struggle on homework. You are encouraged to work together and come to office hours for help with homework. <b>Homework is
a place to learn how to do things!</b> You may use whatever resources you wish on the homework as long as you cite your sources and submit your own work.</p>
<b><u>Essays</u></b>
<p>There will be three essays this semester. The goal of these essays is to develop a hypothesis that addresses the prompt
and provide evidence to support your hypothesis. This is a math course, so clarity is more important that sophisticated prose.
These essays will be two to three pages. You may choose whatever font and formatting you prefer so long as it is easy for me to read
(12pt or larger) and looks professional.
<a href="https://www.vuu.edu/Content/Uploads/vuu.edu/files/University%20College/Writing%20Assignment%20Rubric%208%2019%2018.pdf" target="blank">
<font color="blue">Here is a rubric </font></a> that I found online that reflects what I am looking for in essays and
how I will grade essays. We will spend a week of class working on your first essay, so you will have plenty of time to work with
me and your peers on developing your writing. Lastly, <a href="#writing">the Writing Center</a> is an awesome resource, and
I encourage you to use it.</p>
<b><u>Support</u></b>
<p>Some other, more big-picture resources are the
<a href="https://www.csusm.edu/sass/index.html" target="blank"><font color="blue">Student Academic Support Services (SASS)</font></a>,
<a href="https://www.csusm.edu/asc/index.html" target="blank"><font color="blue">Academic Success Center</font></a>, and the
<a href="https://www.csusm.edu/students/index.html#acasupport" target="blank"><font color="blue">academic support</font></a>. </p>
<p>Finally, I have three+ hours a week that are specifically for helping y'all.
Please come to my office hours with any questions! If you think a question is dumb or you think
you "don't understand anything," then that is even more reason to come to my office hours.
I am very used to struggling with math and I want to help everyone learn in this course.
I can assure you that I have made math mistakes that are much more embarrassing than
any mistake you will make in this course. </p>
<p>Class attendance is not mandatory this semester, though it is highly encouraged. I know things are difficult for everyone right now and
I know flexibility is appreciated, so I will not grade participation directly.
However, we will have in-class assessments.</p>
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<p><table bgcolor="#8594F7" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="exams"></a>Midterm and Quiz</th>
</tr>
</tbody>
</table>
</p>
<p>
We will have one midterm and one quiz.
<p> These are in-class assessments and are closed book and notes. The midterm will likely last for a
full class period and the quiz will last 30 minutes or so.
<!--<p> After hearing everyones' ideas on grading, <strike>I've decided to change the quiz format to better reflect the things you want in grading.
We will still have three quizzes, but they will be a bit longer (20-25 min.).
You'll upload a camscanner picture of your quiz to HuskyCT once you finish, but you'll take your quiz home with you to grade yourself.
I'll give you a rough rubric/idea of how I would grade it, but you will grade and correct your quiz yourself.
You will then turn-in your graded quiz with corrections and a reflection on how you're doing in the class one week after the original date of the quiz.
We will talk about the expectations for the corrections and the reflection in more detail once we get closer to the date of the first quiz. </strike>
<p>The take-home final is open book and notes, but closed everything else.</b>
Using any resource outside of your book and your notes constitutes
academic dishonesty and will be dealt with accordingly. -->
<p><b>Make-Up Policy:</b> In general, no make-ups for a quiz or a midterm will be given.
If you are going to miss one of these assignments and can show proof of some officially acceptable reason, e.g.: a verifiably documented medical excuse
or a conflicting official university sanctioned activity that cannot be rescheduled, then we can make arrangements.<br />
If you are sick or something comes up, then please let me know as far before the assessment is due as you can.
We will do our best to get through this semester safely and healthily.
On as case-by-case basis, I can try to make arrangements in a way that is as fair and equitable as possible.
<!-- <p>
Please avoid making travel arrangements that would not allow you to take the final at the scheduled
time. A final may be rescheduled if you have more than three finals in a single calendar day
or more than four final exams in a 24-hour period. <!-- All rescheduled final exams must be approved by the
<a href="https://dos.uconn.edu/" target="_blank"><font color="blue">Dean of Students Office</font></a> and they do not easily
allow rescheduling. -->
<!-- Please note that CSUSM does <bf>NOT</bf> consider
vacations, previously purchased tickets or reservations, graduations, social events, misreading
the assigned final exam schedule, and oversleeping as viable excuses for missing a final exam.
If you think that your situation warrants permission to reschedule, please contact me as well as the DoS office as soon as possible.
</p> -->
<br />
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#8594F7" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="goals"></a> Student Learning Goals</th>
</tr>
</tbody>
</table>
</p>
<p style="text-align:left"><b>General Education Critical Thinking Goals:</b>
Critical thinking courses should help students learn logic and reasoning, understand sound argument,
and appreciate the value of applying these skills.
The course should teach students how language is related to logic, how to analyze the validity of a statement or argument,
and how valid arguments can be constructed. Students should develop the critical habits of being open-minded and impartial,
suspending judgment or taking a stance when warranted, questioning their own views, and using their critical thinking skills.
Students should recognize that real world problems are complex and not solved with one simple answer.
As critical thinkers, they should be able to transfer what they learn to new situations, whether in other courses or in their everyday lives.
<br />
<p style="text-align:left"><b>My Goals: </b> I think CSUSM's goals above are great. In addition to achieving these goals, I want to give y'all a deeper
perspective into what mathematics is and help build a foundation of mathematical logic and thinking that will serve you
well in the future. Since many of you may be interested in pursuing a degree in mathematics,
I've listed the program learning outcomes below.
</p>
<p style="text-align:left"><a href="https://www.csusm.edu/math/bsdegree/slos.html" ><font color="blue">
<b>BS in Mathematics Student Learning Outcomes:</b></font></a>
<br />
Students who graduate with a Bachelor of Science in Mathematics will be able to:
<br />
1. Apply the core concepts of algebra and analysis.<br />
2. Explain mathematical ideas, written and verbally, in a clear and organized way. <br />
3. Develop and write mathematical proofs. <br />
4. Apply mathematical algorithms and use appropriate technology for the solution of mathematical problems and analysis of real world models. <br />
5. Recognize the interdependency of different areas of mathematics, as well as connections between mathematics and other disciplines. <br />
</p>
<br />
<p style="text-align:left"><a href="https://www.csusm.edu/math/msdegree/learningoutcomes.html" ><font color="blue">
<b>MS in Mathematics Student Learning Outcomes:</b></font></a>
<br />
Students who graduate with a Master of Science in Mathematics will be able to:
<br />
1. Apply advanced concepts of algebra.<br />
2. Apply advanced concepts of analysis. <br />
3. Compose and present extended passages of mathematical prose following modern conventions of precision and clarity. <br />
4. Develop and write mathematical proofs in advanced areas of mathematics. <br />
5. Develop and analyze mathematical models and algorithms, utilizing appropriate software and drawing from different fields of mathematics when necessary. <br />
</p>
<br />
<li> All-University Writing Requirement: The requirement of 2500 words for courses of 3 or more units will be satisfied
in this course by proof writing on the homework, quiz, and midterm and by the writing for the three essays.
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#5F73F9" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="synchronicity"></a>Synchronicity and Late Work</th>
</tr>
</tbody>
</table>
</p>
This is an in-person class and has been designed to be taught in person. Not attending in person will affect your experience in this course.
However, to make it easier for you to engage in this course regardless of your situation, I will be asking for note takers and hopefully posting their notes.
Please let me know if you enjoy taking detailed notes and want to post them for everyone.
Update: Two very kind students have volunteered to take notes.
<a href="https://csusm.instructure.com/courses/3459/modules" target="blank"><font color="blue">
The notes will be posted in the "Modules" section in Canvas. </font></a>.
There will be days where we will do graded work in class. You must let me know well before these days if you are absolutely unable to attend.
<p>
<p>Late assignments (homework, projects, quizzes, and exams) will have points deducted based on how late the assignment is.
I reserve the right to deduct points from late work or award no credit for late work as I see fit.
Unless otherwise noted or excepted, late work turned in after the last day of class will not be accepted.
Generally, I am happy to give extensions if you let me know well before an assignment is due.
If you are having trouble staying on top of your assignments, please come talk to me.
My goal is to help you learn.</p>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#5F73F9" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="statement"></a>Statement of Expectations</th>
</tr>
</tbody>
</table>
</p>
<p>
The last couple of years has been an incredibly tough time for everyone, myself included.
I understand everyone is dealing with things differently and I will do my
best to be flexible and accomodating. I ask you to be open with me and to discuss issues with me when they come up. I will listen and do
what I can to help you succeed in this course. Conversely, I am super excited to teach this course and I love this material, but this
is my first semester at CSUSM.
I ask that you be understanding of the mistakes I will certainly make, and I ask that you give me honest feedback about how I can
improve.
<p>
As individuals and as a class we will be respectful of everyone; language or behavior that discriminates against or excludes
anyone will not be tolerated.
We will avoid stereotypes about who is "good" at math. Math is difficult, but also beautiful, and as a class we will work together to overcome
difficulties and share the beauty. This is especially true with group work. You must treat your group members with respect and engage in positive
and constructive conversations. If you are curious about what this environment looks like, I invite you to check out the
<a href="https://www.csusm.edu/civility/about/index.html" target="blank">
<font color="blue">CSUSM Civility Campaign</font></a>.
</p>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<table bgcolor="#5F73F9" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="integrity"></a>Academic Integrity</th>
</tr>
</tbody>
</table>
</p>
<p>
Students will be expected to adhere to the guideline of academic honesty and integrity, as outlined in the
<a href="https://www.csusm.edu/dos/studres/standards_student_conduct.html" target="blank">
<font color="blue">CSUSM Standards for Student Conduct</font></a>.
All assignments must be original work, clear and error-free.
All ideas/material that are borrowed from other sources must have appropriate references to the original sources.
Any quoted material should give credit to the source and be punctuated accordingly. </p>
<p>Students are responsible for honest completion and representation of their work.
Unless otherwise noted, all completed assignments are to consist solely of your own individual work and ideas
without input from any external resources or persons.
There will be zero tolerance for infractions.
If you believe there has been an infraction by someone in the class, please bring it to the my attention.
I reserve the right to discipline any student for academic dishonesty,
in accordance with the general rules and regulations of the university.
Disciplinary action may include the lowering of grades and/or the assignment of a failing grade for an exam, assignment, or the class as a whole.
It is recommended that students consult the
<a href="https://csusm.policystat.com/policy/7984230/latest/" target="blank"><font color="blue">CSUSM Academic Honesty Policy</font></a>.</p>
<!-- I expect you to be familiar with and abide by
<a href="https://community.uconn.edu/the-student-code-appendix-a/" target="_blank">
<font color="blue">UConn's academic integrity policy</font></a> at all times. There should be no
help given or received on exams or quizzes, not from other people, not from tutors, not from online sites.
Academic misconduct includes, but is not limited to, providing or receiving assistance in a manner
not authorized by the instructor in the creation of work to be submitted for academic evaluation
(e.g. papers, projects, examinations and assessments - whether online or in class); presenting,
as one's own, the ideas, words or calculations of another for academic evaluation; doing
unauthorized academic work for which another person will receive credit or be evaluated;
using unauthorized aids in preparing work for evaluation (e.g. unauthorized formula sheets,
unauthorized calculators, unauthorized programs or formulas loaded into your calculator, etc.);
and presenting the same or substantially the same papers or projects in two or more courses without
the explicit permission of the instructors involved.
A student who knowingly assists another student in committing an act of academic misconduct
shall be equally accountable for the violation, and shall be subject to the sanctions and other
remedies as described in <a href="https://community.uconn.edu/the-student-code-appendix-a/" target="_blank">
<font color="blue">Appendix A</font></a> of the <a href="https://community.uconn.edu/the-student-code/" target="_blank">
<font color="blue">Student Code</font></a>.
Sanctions shall include, but are not limited to, a letter sent to the Office of Community
Standards of the University; a grade of 0 on the assignment, quiz or exam; a grade of F for
the course. -->
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#5F73F9" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="Support"></a>Support From Me</th>
</tr>
</tbody>
</table>
</p>
<p>I pledge to do my utmost as your instructor to support you and your success in this class.
Regardless of your race,
color, religion, sex, sexual orientation, gender identity or
expression, age, disabilities, citizenship, or national origin, I am happy that you're taking this course
and I am excited to help you learn math. I will do everything I can to make sure you feel welcome in
our classroom and address any aspects or elements of the course that may make you feel unwelcome.
This runs the gamut from being willing to make accomodations for religious observances to making sure
our classroom is a supportive place. Please come to me with any concerns you have! I'm here to listen and
to help give you the tools and conditions to be successful in this course.</p>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#5F73F9" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="kids"></a>Policies on Children in Class</th>
</tr>
</tbody>
</table>
</p>
The University currently does not have a policy for children in classrooms. What follows is a reflection of my own commitments to students as parents:
You are welcome to feed your baby (breastfed and/or bottlefed) in my classroom;
If you need to pump breastmilk during class time, I would be happy to coordinate timing breaks around this;
Unforeseen disruptions in childcare should not be a deterrent for attending class; it is perfectly acceptable to bring your child to class, as needed;
As students and parents, you are held to the same standards as your peers (deadlines, etc.),
but I am happy to discuss routines and practices that facilitate a healthy school-parenting balance.
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#4AD1C0" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="credit"></a>Expanded Credit Hour Statement</th>
</tr>
</tbody>
</table>
</p>
<p>
As a three unit course, the award of credit in this course is based on learning activities
outside of class meetings having been designed to require a minimum of six hours of effort each week working for most students.
More prosaically, about two hours of work will be required for each 50 minutes we spend together in class.
This work includes things like reading the text, working on homework problems, writing proofs, working in groups on projects,
and studying for assessments.
</p>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#4AD1C0" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="writing"></a>The Writing Center</th>
</tr>
</tbody>
</table>
</p>
Writing Help (for all classes):
The Writing Center offers welcoming digital and face-to-face learning environments where certified student consultants
offer constructive guidance at any stage of the writing process--idea generation, argument development, sentence-polishing, and more.
They start with the prompt and ask guiding questions as you work to develop compelling work. Chat, voice, and video sessions are available on
Microsoft Teams, by appointment; Quick Help is available on Teams on a drop-in basis;
asynchronous feedback is available by request; and in-person tutoring is available by appointment.
Additional services include Academic English support, webinars, and various online resources. <br />
Follow them on Instagram: @wccsusm.
Questions? Email: [email protected]
Check out details here:
<a href="https://www.csusm.edu/writingcenter/index.html" target="blank">
<font color="blue">CSUSM Writing Center</font></a>.
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#4AD1C0" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="accessibility"></a> Accessibility Issues</th>
</tr>
</tbody>
</table>
</p>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
If you have or think you have a disability and would like support, please let me know so that I can help facilitate accommodations.
Students with disabilities who require reasonable accommodations must be approved for services by providing appropriate
and recent documentation to the Disability Support Services (DSS) Office. This office is located in Craven Hall 4300,
and can be contacted by phone at (760) 750-4905, or TTY (760) 750-4909, and by email sent to [email protected].
Students authorized by DSS to receive reasonable accommodations should meet with me during my office hours in order to ensure confidentiality.
</p>
<p>For COVID-19 related class concerns (e.g., excused absences, missed exams, late work etc.),
please contact your instructor. For all other COVID-19 related concerns that students wish to get
campus support to address (e.g., exposure, diagnosis, ongoing symptoms, etc.), students should feel free to contact the Cougar Care Network.
You are welcome but not required to let your instructor know of any COVID-19 related concerns.</p>
<br>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#4AD1C0" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="cougarcare"></a> Cougar Care Network</th>
</tr>
</tbody>
</table>
</p>
<b> Cougar Care Network: </b>
The Dean of Students division provides support resources via the Cougar Care Network (CCN).
CCN can be used by faculty, staff, and students. Per the CCN homepage,
“Cougar Care Network(CCN) provides information, connection to resources, advocacy and support for students dealing with personal,
academic, financial or other challenges which may adversely affect their academic success and/or collegiate experience.”
As a student you may self-refer if you find that you need help with connecting with campus support resources.
As your instructor, I may refer you to CCN if I see that you would benefit from campus assistance beyond what I can provide
academically for the scope of this class. For more information visit
<a href="https://www.csusm.edu/ccn/index.html" target="blank">
<font color="blue">the CCN home page</font></a>.
<br>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-->
<p>
<table bgcolor="#4AD1C0" border="1" cellpadding="4" cellspacing="2" width="100%">
<tbody>
<tr>
<th align="left"><a name="reporting"></a>Mandated Reporting & Resources</th>
</tr>
</tbody>
</table>
</p>
CSUSM is committed to fostering a campus community based on respect.
To this end, we recognize that all CSUSM community members are responsible for helping to ensure that our community is free from
harassment, discrimination, sexual misconduct, domestic violence, and stalking.
In accordance with Title IX, CSUSM is legally obligated to respond to reported incidents of
harassment, discrimination, sexual misconduct, domestic violence, and stalking.
Faculty who become aware of an incident of harassment,discrimination, sexual misconduct, domestic violence, and stalking are
required to notify CSUSM’s Title IX Coordinator.
The purpose of this disclosure is to ensure that students are made aware of their reporting options and resources for support.
For more information about your rights and reporting options at CSUSM, including confidential and anonymous reporting options,
please visit
<a href="http://www.csusm.edu/title9/" target="blank">
<font color="blue">CSUSM's Title IX page</font></a>.
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<th align="left"><a name="land"></a>The Land We Are Occupying</th>
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The land on which we gather is the traditional territory of the Luiseño/Payómkawichum people.
Today, the meeting place of CSUSM and its surrounding areas is still home to the six federally recognized bands
of the La Jolla, Pala, Pauma, Pechanga, Rincon, Soboba Luiseño/Payómkawichum people.
It is also important to acknowledge that this land is a space shared by the Kuupangaxwichem/Cupeño, Kumeyaay, and Ipai peoples.
For more information, please go to CSUSM's <a href="https://www.csusm.edu/cicsc/" target="blank">
<font color="blue">California Indian Culture and Sovereignty Center (CICSC) page</font></a>.
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