This article examines the mathematics learning experiences in proportional reasoning I created for pre-service teachers in my teacher education course in Canada. The approach aimed to enable pre-service teachers to work on and with their prior mathematics understandings, make connections that were particular to what emerged during group work, and…

In this study, a research team made up of Métis artists and knowledge keepers, Anishinaabe and non-Indigenous educators, and a non-Indigenous university mathematics education researcher co-designed and delivered an Indigenous cultural mathematical inquiry in a Grade 5 classroom. We explored the connections between loom bead designs and…

Mathematical reasoning is one of the four proficiencies in the Australian Curriculum: Mathematics (AC:M) where it is described as: "[the] capacity for logical thought and actions, such as analysing, proving, evaluating, explaining, inferring, justifying and generalising" (Australian Curriculum, Assessment and Reporting Authority [ACARA],…

Research on young children's reasoning show the complex relationships of knowledge, theories, and evidence in their decision-making and problem solving. Most of the research on children's reasoning skills has been done in individualized and formal research settings, not collective classroom environments where children often engage in learning and…

To investigate similarity judgements in different cultural contexts, the performance of two groups of children on seven similarity tasks and on two tests of metaphor was compared. The 45 Canadian and 45 Canadian-Greek children (ages 5, 8, and 11) had different cultural and linguistic backgrounds but common schooling experiences. The seven tasks…

Psycho-epistemology provides a framework for this study on interrelationships among teachers, subject matter, and learners. Chapter 1 presents the polemics that lead to the problem, including sections on educational divergence, the noncumulative nature of knowledge in education, the divergence of opinion regarding the "best" teaching and…