Learning Log: Algebraic Reasoning

Mais informações

Responsive learning environments

por Janice Leung

Desk Tidy

por Nur Syafiqah Kamal Abdul Zaman

HERBARTIAN APPROACH

por Nathalie Coello

Rhyme

por Zoe Cattan

Learning Log: Algebraic Reasoning

Personal Connections

I chose to create a mind map for this last learning log to explore new ways of organizing my thoughts

I have always liked algebra and patterning more than any other unit in math. Although I am slightly nervous about teaching math, especially now in my grade 6 placement, with these new skills and strategies for teaching algebra, I feel much more prepared going into it.

I really like to organize my thoughts in this way; it allows me to group my thoughts together and minimize the wording to be shorter and more concise

Class Involvement and Student Engagement

have students create linear growing patterns in pairs; have one student guess the other students rule

conjecture: educated guess/prediction

ask student for clarification for their answer; have the class express if they agree or disagree through healthy and respectful discussion

This supports students in their own learning

Charting Linear Growing Patterns

graphing linear growing patterns is a way to visually depict the growth of the pattern

is the line really steep indicating a higher multiple?

is the line growing really slowly indicating a smaller multiple?

graphing these patterns also encompasses different strands of math: algebra and data management

Input/Output Charts

use as a way to demonstrate linear growing patterns

helps to clearly map out what the algebraic relationship is between the input and output

Part-Part-Whole Relationship

thinking of multiple units as groups

1 = 1 group of 3

2 = 2 groups of 3

3 = 3 groups of 3

Basics

RULE: output = input x position number + constant

output, input, position number

linear growing patterns

multiplier, constant, rule

multiplier is multiplied, constant is added