# Math 73SL: General Course Outline

## Course Description

73SL. Key Issues in K-12 Mathematics. (3) Seminar, two hours; fieldwork (classroom observation and participation), two hours. Introduce students to K-12 mathematics activity in the United States. Cultivate interest in teaching through exploration of the sequences of mathematical content and habits of mind taught in these grades. Analyze sequences of topics in the current California State Standards in Mathematics (CCSS-M), the mathematical structures that underlie these sequences and cognitive aspects of learning mathematics. Experience with professional mathematician?s habits of mind outlined in the California Standards for Mathematical Practice (including proof and mathematical modeling) and effective strategies for teaching mathematics to diverse student groups. Fieldwork in local mathematics classrooms arranged by Cal Teach program. P/NP (undergraduates) or S/U (graduates) grading.

## Textbook(s)

National Research Counci How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press (https://doi.org/10.17226/11101), 2005.
Other reading materials to be provided

Online Resources:
National Governors Association & Council of Chief State School Officers Common Core State Standards for Mathematics (http://www.corestandards.org/Math/), 2010.

## Schedule of Lectures

Lecture Section Topics

Week 1

Grades 1-3: Length (CCSS-M 1.MD.2, 2.MD.3, 3.MD.4)

Week 2

Grades 3-5: Area & Volume Defined (CCSS-M 3.MD.5 - 7, 5.MD.3 - 5)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 1 in the classroom?

Week 3

Grades 6-8: Deriving Area and Volume Formulas (CCSS-M 6.G., 7.G.4, 8.G.9)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 2 in the classroom?

Week 4

Grades 9-12: Areas and Volumes of Irregular Regions and Solids (CCSS-M G.GMD.1)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 3 in the classroom?

Week 5

Grades K-2: Decomposing Shapes (CCSS-M K.G.6, 1.G.3, 2.G.3)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 4 in the classroom?

Week 6

Grades 3-5: Defining Fraction as a Number (CCSS-M 3.NF.1 & 2)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 5 in the classroom?

Week 7

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 6 in the classroom?

Week 8

Grades 3-5: Multiplying Fractions (CCSS-M 5.NF.4)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 7 in the classroom?

Week 9

Grades 6-7: Ratios and Proportional Relationships (CCSS-M 6.RP.3, 7.RP.2)

Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 8 in the classroom?

Week 10

Grades 8-12: Linear and Other Functions (CCSS-M 6.EE.9, 8.EE.5, 8.F.3, F.IF.1)