Math 149. Capstone Mathematics for Teachers. Spring 2009.
Tentative class schedule with homework assignments
This schedule is subject to change.
| Feb 3: | Last day to ADD and DROP classes without instructor permission | ||
| Feb 18: | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||
| Apr 21: | Last day to WITHDRAW from a course for a serious and compelling reason | ||
| Date | Reading assignment | Written homework due | Topic & class activities |
| Jan 22 | - | - | Introduction. Syllabus & Schedule. Single Subject Credential Requirements. Who this class is for (and why to take it), etc. An advanced perspective (example: factoring quadratic polynomials). |
| Jan 27 | - | - | Example: factoring quadratic polynomials - continued. Integers. Properties and algebraic structure. Definitions: group, abelian group, ring, commutative ring. |
| Jan 29 | Construction of the Number Systems: pages 1-3, pages 4-5 (Beachy and Blair, Abstract Algebra, 3rd ed., A2-A3) | - | Definition: field.
Axiomatic construction of integers (Peano postulates for N; well-ordering principle; mathematical induction; negative numbers as equivalence classes of differences of natural numbers; properties of integers). Teaching negative numbers. |
| Feb 3 | - | Homework 1 (Divisibility tests) | Homework 1 discussion. Field experience: schedule update Quiz 1 - on Blackboard (due 2/10 at 1:00 PM) |
| Feb 5 | The meaning of division by fractions (Liping Ma) | - | Rational numbers. Definition and algebraic structure. Teaching multiplication and division of rational numbers. |
| Feb 10 | - | Homework 2 (Rational/irrational numbers) | Homework 2 discussion. Irrationality of e Rational numbers as terminating/repeating decimals. Quiz 2 - on Blackboard (due 2/17 at 1:00 PM) |
| Feb 12 | - | - | Rational numbers as terminating/repeating decimals continued. Real numbers. Definition and algebraic structure. |
| Feb 17 | - | - | Complex numbers. Definition and algebraic structure. Rectangular and polar representations and their advantages. |
| Feb 19 | - | Homework 3 (Real fields; complex numbers) | Review: Study Guide and Sample Problems |
| Feb 24 | - | - | Test 1 (Numbers) |
| Feb 26 | - | Counting, Binomial Theorem, Probability. Problems and solutions | |
| Mar 3 | Homework 4 (Polynomials and Binomial Theorem) | Homework 4 discussion. Polynomials. Definition. Operations with polynomials. Comparing the algebraic structure of polynomials with that of numbers. |
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| Mar 5 | - | Functions. Definitions of important terms (graph, intercepts, roots, domain, codomain, range, asymptotes). | |
| Mar 10 | Homework 5 (Equations and quadratic functions) | Important classes of functions. Equations. The concept of equation. Quadratic formula. Solving equations. |
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| Mar 12 | - | Discussion of classroom observations and extracurricular activities. | |
| Mar 17 | Homework 6 (More equations and inequalities) | Problem solving with functions and equations using calculators Problems |
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| Mar 19 | - | Proportional reasoning, ratios, and rates. Problems |
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| Mar 24 | Homework 7: Problem 4 and redo problem 4 from Homework 6 (Inequalities) |
Graphs of quadratic equations. More problem solving. | |
| Mar 26 | - | Discussion of classroom observations and lesson design. | |
| Mar 31 | Cesar Chavez holiday - no classes; campus closed | ||
| Apr 2 | Homework 8 (Graphs of quadratic equations) | Review: Study Guide and Sample Problems, Answers | |
| Apr 7 | Spring break | ||
| Apr 9 | |||
| Apr 14 | - | - | Test 2 (Functions, equations, proportional reasoning, ratios) |
| Apr 16 | - | Measurements. Defining and measuring length, area, and volume. | |
| Apr 21 | Homework 9 (Volume of a pyramid) | Problems involving length, area, and volume. Approximating the number pi. | |
| Apr 23 | - | Geometry. Similarity (proportional reasoning in geometry). Proofs of the Pythagorean theorem. |
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| Apr 28 | Homework 10 (Approximating the number pi) | Areas and volumes of similar figures/solids. Problems |
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| Apr 30 | - | Geometric constructions: using symmetry and similarity. Problems Technology. Using technology, including calculators, Geometer's sketchpad, Mathematica, Maple, etc. in middle and high school. |
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| May 5 | Homework 11 (Similarity) | Technology continued. | |
| May 7 | - | Presentations: Field Experience | |
| May 12 | Homework 12 (Technology) | Review and reflections. | |
| May 14 | - | - | Consultation hours: 11-12:30 in PB 340, 1-2:15 in S2 321 |
| May 15 | - | - | Consultation hours: 11-1 in PB 340 |
| May 19 | - | - | 1:15 - 3:15 PM: Final Exam (cumilative) |