PROPORTIONAL REASONING

Credits and Rights information

This page tells you who created the lessons and the activities, and where the resources came from.

The Proportional Reasoning module has been conceptualized and developed by Connected Learning Initiative (CLIx) Mathematics team, Tata Institute of Social Sciences, Mumbai.
It was a collaborative work that resulted in the module and its various units, lessons and activities. We have also used open educational resources from many different sources.

Citation

Module:
Proportional Reasoning. India: CLIx, Tata Institute of Social Sciences.

Unit:
Proportional Reasoning Unit 1. India: CLIx, Tata Institute of Social Sciences.

Lesson:
Proportional Reasoning Unit 1 Lesson 01. India: CLIx, Tata Institute of Social Sciences.

Credits

CLIx Mathematics, TISS (2018). Proportional Reasoning Unit 1 Lesson 01. India: CLIx, Tata Institute of Social Sciences.

Literature references:

Lamon, S. (2006), Teaching fraction and ratios for understanding, second edition, Lawrence Erlbaum Associates Publishers, Mahwah, New Jersey, London.

Lamon, S. J. (2007). Rational numbers and proportional reasoning: Toward a theoretical framework for research. Second handbook of research on mathematics teaching and learning, 1, 629-667.

Subramaniam, K. (2013). Research on the learning of fractions and multiplicative reasoning: A review. The epiSTEME reviews: Research trends in science, technology and mathematics education, 4.

Lamon, S. (1993). Ratio and proportions: Connecting content and children’s thinking. Journal for Research in Mathematics Education, Vol. 24, No. 1 (Jan., 1993), pp. 41-61

Noelting, G. (1980). The development of proportional reasoning and the ratio concept Part I—Differentiation of stages. Educational studies in Mathematics, 11(2), 217-253.

Duckworth, E. (2012). TEDxPioneerValley - Eleanor Duckworth - ‘When Teachers Listen and Learners Explain’. Retrieved on 30 August 2016, from https://www.youtube.com/watch?v=1sfgenKusQk

CLIx subject team details:

Amit Dhakulkar

Arati Bapat

Arindam Bose

Bindu Thirumalai

Jayashree Subramanian

Jeenath Rahaman

Ruchi S. Kumar

Saurabh Khanna

Saurabh Thakur

Sayali Chougale

Suchismita Srinivas

Sumegh Paltiwale

Vijay Wani

Shweta Naik (Consultant)

Academic mentor:

Aaloka Kanhare

K. Subramaniam

Academic support:

Archana Correa

Arnab Kumar Ray

Jaya Mahale

Jayashree Anand

Samir Dhurde

Shikha Takker

Tuba Khan

Editor:

Arindam Bose

Bindu Thirumalai

Ruchi S. Kumar

Suchismita Srinivas

Production details:

Dhammaratna Jawale

Jaya Mahale

Jayashree Anand

Sheetal Suresh

Translators:

Amrit Upadhyay

Dilip Tanwar

Dr. K. Sharma

Dr. Srinivas Chennuri

Hari Mishra

Jitender Kumar

Pramod Pathak

Praveen Allamsetti

Ravi Kant

Copy editors:

Aparna Tulpule

Venkatnarayanan Ganapathi

Video development support:

Ashirwad Wakade

Gitanjali Somanathan

Manoj Bhandare

Shiva Thorat

Software Development:

Ashwin Nag

Tata Interactive Services

Platform Development:

Brandon Muramatsu

Cole Shaw

Harshit Agarwal

Jeff Merriman

Kathleen McMahon

Kedar Aitawdekar

Keerthi K.R.D

Kirky DeLong

Mrunal Nachankar

Nagarjuna G.

Padmini Sampath

Prachi Bhatia

Rachana Katkam

Ramjee Swaminathan

Sadaqat Mulla

Satej Shende

Sumegh Paltiwale

Saurabh Bharswadkar

Tool Development:

Ashwin Nagappa

Kedar Aitawdekar

Mrunal Nachankar

Prachi Bhatia

Rachana Katkam

Sadaqat Mulla

Saurabh Bharswadkar

Tanvi Domadia

Tejas Shah

Voice over:

Arindam Bose

Jeenath Rahaman

Saurabh Thakur

Suchismita Srinivas

Platform Design:

Aditya Dipankar

Authoring support:

Roshan Gajbhiye

Chetan Kamble

Lakhinder Soren

Ashirwad Wakade

Rajiv Sambari

Saurabh Thakur

Sumegh Paltiwale

Vijay Wani

Publication Team:

Rachna Ramesh Kumar

Sunita Badrinarayan

Usha Iyengar

Cover design and formatting:

Ramesh Khade

Special Thanks:

To the students and teachers of all the schools where we piloted our modules.