Center for Teaching and Learning Mathematics

Psychology of Learning Mathematics

Improving Math Instruction from K-12 and Beyond

Teaching Mathematics in a Changing World

Master Course by Professor Mahesh Sharma

A course for K-12 Teachers and College Instructors.

IMIA K-12 Syllabus

PSYCHOLOGY OF LEARNING MATHEMATICS:

IMPROVING MATH INSTRUCTION K-12 and BEYOND

COURSE OBJECTIVES

I. HOW CHILDREN LEARN MATHEMATICS

A. Cognitive development and mathematics learning

B. Mathematics learning personality 🕮

C. Levels of knowing mathematics 🕮

D. Prerequisite skills and mathematics learning

E. Mathematics of a second language. 🕮 🕮 🕮 🕮

II. INSTRUCTIONAL MODELS

A. Characteristics of models

B. Vertical acceleration

C. A lesson plan

III. KEY CONCEPTS, SKILLS AND PROCEDURES IN MATHEMATICS

A. Number conceptualization, relationships, and procedures

B. Representing number: place value and its forms

C. Fractions: representation, forms, operations, applications

D. Integers and operations on integers

E. Spatial sense and geometric thinking

F. Algebraic thinking