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 K5 mathematics curriculum. Exploration of K5 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 K2: Connecting Counting to Cardinality (CCSSM K.CC.4) 

Week 2 
Grades K2: The Base Ten System (CCSSM 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 K2: The Addition & Subtraction Algorithm (CCSSM 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 35: Adding and Subtracting Fractions (CCSSM 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 35: Relating Area to Multiplication (CCSSM 3.MD.57) Fieldwork Prompt: In what ways (if any) did you observe students engaging in CCSS SMP 4 in the classroom? 

Week 6 
Grades 35: The Multiplication Algorithm for Whole Numbers (CCSSM 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 35: 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 35: Multiplying Fractions (CCSSM 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 35: Dividing Fractions (CCSSM 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 35: Decimals & Decimal Operations (CCSSM 4.NF.57, 5.NBT.7, 6.NS.3) 