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'Out of the Debts' learning environment combining the debts-and-assets context with the number line

Design · All designs
Evidence · 1 claim (1 for) · 1 study (1 qualitative), q2 · 0 of 1 report an effect size · 1 claim rests on one study

Description

A learning environment developed by Hußmann and Schindler (2014a, b) in the KOSIMA project, which aims at teaching mathematics through real contexts. Students play a board game in groups of four in which each is an indebted person aiming to redeem debts; the board is a number line ('account bar') with positive and negative numbers, and players draw changing account balances with their pieces. Later problems invite reflection on positions on the account bar and the role of the minus sign, with temperatures and altitudes as further contexts.

Design Implications

Context

Requirements

  • Students should be involved in the GoGAR, drawing on out-of-school experiences and inferentially relating their reasoning to external representations

Constraints

Target Learners

  • sixth-grade students in German secondary school

Learning Goals

  • understanding negative integers and the order relation

Claims

Examples

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Key Sources

  • Maike Schindler, Stephan Hußmann, Per Nilsson, Arthur Bakker. (2017). Sixth-grade students' reasoning on the order relation of integers as influenced by prior experience: an inferentialist analysis. Math Ed Res J 29:471–492. https://doi.org/10.1007/s13394-017-0202-x
Page metadata
Field Value
type design
id out-of-the-debts-learning-environment
title 'Out of the Debts' learning environment combining the debts-and-assets context with the number line
description A learning environment developed by Hußmann and Schindler (2014a, b) in the KOSIMA project, which aims at teaching mathematics through real contexts.
status review
generated by process:settle-candidates on 2026-10-17
trust unverified — no one has confirmed this page's content
sources 1 — maike-schindler-2017

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