MATHEMATICS → Mathematics Content Understanding

Multiplicative Thinking (MT101)


Description
COURSE: MULTIPLICATIVE THINKING

This self-paced, research-based, practical course is for teachers seeking to deepen their understanding of multiplicative thinking, and their capacity to explicitly teach their students to think multiplicatively.
This course will be available for 30 days after purchase. This course provides 3 hours of Professional Learning.

This course will answer the questions:
a. What is Multiplicative Thinking?
b. Why is Multiplicative Thinking important?
c. What are examples of Multiplicative Thinking?
d. How could we explicitly teach our students to think multiplicatively?

Multiplicative Thinking is critically important because it underpins so much of mathematics. Children who do not develop the ability to think multiplicatively, find it difficult to move beyond primary school mathematics.

Multiplicative Thinking involves using mathematical meta-language to explain, and working conceptually with, relative magnitude, as ‘times bigger / times smaller’, ‘times as many / times more / times fewer’.

Multiplicative Thinking is involved in multiplication and division, fractions, place value of whole numbers and decimals, and metric measurement.

Unless we explicitly teach children to think multiplicatively, it may not happen for many children – indeed many adults think additively.

This course includes the following Educational Standards for Teachers (Australia):

Standard 1 - Know students and how they learn
1.2.2 Structure teaching programs using research and collegial advice about how students learn.

Standard 2 - Know the content and how to teach it
2.1.2 Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities.

Standard 3 - Plan for and implement effective teaching and learning
3.3.2 Select and use relevant teaching strategies to develop knowledge, skills, problem-solving, and critical and creative thinking.

3.6.2 Evaluate personal teaching and learning programs using evidence, including feedback from students and student assessment data, to inform planning.

Standard 4 - Create and maintain supportive and safe learning environments
4.1.2 Establish and implement inclusive and positive interactions to engage and support all students in classroom activities.

Standard 6 - Engage in Professional learning
6.2.2 Participate in learning to update knowledge and practice targeted to professional needs and school and/or system priorities.

Content
  • PART A: What is Multiplicative Thinking?
  • What is Multiplicative Thinking?
  • Assessment: What is Multiplicative Thinking?
  • PART B: WHY IS MULTIPLICATIVE THINKING IMPORTANT?
  • Why is Multiplicative Thinking Important?
  • Assessment: Why is Multiplicative Thinking Important?
  • PART C: WHAT ARE EXAMPLES OF MULTIPLICATIVE THINKING?
  • What Are Examples of Multiplicative Thinking?
  • Assessment: What Are Examples of Multiplicative Thinking?
  • PART D: HOW COULD WE EXPLICITLY TEACH CHILDREN TO THINK MULTIPLICATIVELY?
  • How Could We Explicitly Teach Children to Think Multiplicatively?
  • Assessment: How Can We Explicitly Teach Children to Think Multiplicatively?
  • A LEARNING PLACE A TEACHING PLACE
  • Further resources: A LEARNING PLACE A TEACHING PLACE
Completion rules
  • All units must be completed
  • Leads to a certification with a duration: Forever