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Math 74SL: General Course Outline

Course Description

74SL. Mathematics and Pedagogy for Teaching Elementary Mathematics. (3)(Formerly numbered Mathematics 71SL.) Seminar, two hours; fieldwork (classroom observation and participation), two hours. Facilitate development of professional mathematical and pedagogical understandings required to teach California?s K-5 mathematics curriculum. Exploration of K-5 mathematics, practice effective teaching strategies for all learners, and discuss current research and standards in math education. Fieldwork in local mathematics classrooms (observation and presenting lesson plan) arranged by Cal Teach program. P/NP (undergraduates) or S/U (graduates) grading.

Textbook(s)

Berlinghoff & Gouvea Math Through The Ages: A Gentle History for Teachers and Others. Oxton Publishers & MAA, 2015.
Other reading materials to be provided

Schedule of Lectures

Lecture Section Topics

Week 1

Grades K-2: Connecting Counting to Cardinality (CCSS-M K.CC.4)

Week 2

Grades K-2: The Base Ten System (CCSS-M 1.NBT.2, 2.NBT.1)

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

Week 3

Grades K-2: The Addition & Subtraction Algorithm (CCSS-M 2.NBT.9, 3.NBT.2)

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

Week 4

Grades 3-5: Adding and Subtracting Fractions (CCSS-M 4.NF.3)

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

Week 5

Grades 3-5: Relating Area to Multiplication (CCSS-M 3.MD.5-7)

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

Week 6

Grades 3-5: The Multiplication Algorithm for Whole Numbers (CCSS-M 4.NBT.5, 5.NBT.5)

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

Week 7

Grades 3-5: Student Presentations of Lesson Plans

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 3-5: Dividing Fractions (CCSS-M 5.NF.7)

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

Week 10

Grades 3-5: Decimals & Decimal Operations (CCSS-M 4.NF.5-7, 5.NBT.7, 6.NS.3)