PurposeProfessional development activity

DescriptionThis VMCAnalytic was created to explore interesting ways to introduce new algebraic concepts to students. "Open Sentences in Two Variables" is a basic topic in Algebra, but it is one that students might not grasp right away when being new to the subject. In the following clips, Researcher Davis introduces algebraic equations with two variables using shapes as symbols to represent the two variables.

In conclusion, different variables are allowed to represent the same number. One variable representing a certain number does not prevent another variable in the equation from also being able to represent that number. It is possible for two variables in an equation to both be representations of the same value.

References:

1. Introducing Functional Thinking in Year 2: A Case Study of Early Algebra Teaching. Retrieved from https://journals.sagepub.com/doi/abs/10.2304/ciec.2005.6.2.5

2. Does Early Algebraic Reasoning Differ as a Function of Students’ Difficulty with Calculations versus Word Problems? Retrieved from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4192650/

Video References:

1. Early algebra ideas involving two variables. Retrieved from: https://videomosaic.org/portalResults?q1field=fulltext&subjects[]=7&subjects[]=&subjects[]=Open+sentence+in+two+variables&subjects[]=&orderby=title&key=2Qx0Jm3Su&numresults=1&start=1

2. Early algebra ideas involving one variable. Retrieved from: https://videomosaic.org/portalResults?q1=two+variables&q1field=fulltext&subjects[]=&subjects[]=&subjects[]=&subjects[]=Algebra&orderby=title&key=2Qx0Jm3Su&numresults=1&start=51

3. B34, Surface Area and Volume. Retrieved from: https://videomosaic.org/portalResults?q1=two+variables&q1field=fulltext&subjects[]=&subjects[]=&subjects[]=&subjects[]=&orderby=title&key=2Qx0Jm3Su&numresults=1&start=1

Problem Statement:

□ + □ + ∆ = 9

In conclusion, different variables are allowed to represent the same number. One variable representing a certain number does not prevent another variable in the equation from also being able to represent that number. It is possible for two variables in an equation to both be representations of the same value.

References:

1. Introducing Functional Thinking in Year 2: A Case Study of Early Algebra Teaching. Retrieved from https://journals.sagepub.com/doi/abs/10.2304/ciec.2005.6.2.5

2. Does Early Algebraic Reasoning Differ as a Function of Students’ Difficulty with Calculations versus Word Problems? Retrieved from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4192650/

Video References:

1. Early algebra ideas involving two variables. Retrieved from: https://videomosaic.org/portalResults?q1field=fulltext&subjects[]=7&subjects[]=&subjects[]=Open+sentence+in+two+variables&subjects[]=&orderby=title&key=2Qx0Jm3Su&numresults=1&start=1

2. Early algebra ideas involving one variable. Retrieved from: https://videomosaic.org/portalResults?q1=two+variables&q1field=fulltext&subjects[]=&subjects[]=&subjects[]=&subjects[]=Algebra&orderby=title&key=2Qx0Jm3Su&numresults=1&start=51

3. B34, Surface Area and Volume. Retrieved from: https://videomosaic.org/portalResults?q1=two+variables&q1field=fulltext&subjects[]=&subjects[]=&subjects[]=&subjects[]=&orderby=title&key=2Qx0Jm3Su&numresults=1&start=1

Problem Statement:

□ + □ + ∆ = 9

Created on2021-12-07T20:24:17-0400

Published on2022-07-11T09:27:49-0400

Persistent URLhttps://doi.org/doi:10.7282/t3-f6jx-n061