Synthesis and diffusion of a pigment molecule can be simulated using deterministic equations in computer software. These lesson materials describe how tiger stripes emerge from manipulations in this code, and how students can engage in mathematical inquiry by exploring these reaction-diffusion equations.

Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…

The topic of recurrence relations has recently been introduced in many discrete mathematics textbooks. Recurrence relations are efficient modelling and problem-solving techniques used in mathematics. Combinatorial problems are often used to introduce recurrence relations. However, many textbooks consider problems that can be reduced only to the…

In this paper, I aim to explore what role persuasion plays in the early education of children. Advocating Wittgenstein, I claim that persuasion involves imparting to a pupil about a particular world-picture ("Weltbild") by showing rather than explaining. This because we cannot introduce a child to the hinges of a world-picture through a…

This paper focuses on the emergence of abstraction through the use of a new kind of motion detector--WiiGraph--with 11-year-old children. In the selected episodes, the children used this motion detector to create three simultaneous graphs of position vs. time: two graphs for the motion of each hand and a third one corresponding to their…

Anxiety in Children can develop into pervasive disorders in adulthood if not treated. Research shows dysfunctional Executive Function (EF) and anxiety are both shown to have a negative impact on math achievement in children and adolescents (Trezise & Reeve, 2018; Kalaycioglu, 2015; Owens, Stevenson, Hadwin & Norgate, 2012). Chung, Weyandt,…

The present study aimed to investigate the effects of the EASY Minds program on working memory and selective attention of a group of Iranian students with maths learning disabilities. The study had a quasi-experimental research design with pre-test, post-test, and follow-up tests. Forty students with maths learning disabilities were randomly…

According to the conceptual framework for K-grade 12 statistics education introduced in the 2007 Guidelines for Assessment and Instruction in Statistics Education (GAISE) report, students can be located at one of three developmental levels of statistical literacy: A, B, or C. These levels are independent of age and grade level, so, in theory,…

We present an instructional approach to teaching causal inference using Bayesian networks and "do"-Calculus, which requires less prerequisite knowledge of statistics than existing approaches and can be consistently implemented in beginner to advanced levels courses. Moreover, this approach aims to address the central question in causal…

Developing multiplicative reasoning is an important milestone for elementary school students, which influences their learning of later mathematical concepts (Hackenberg and Tillema 2009). For children to conceptually understand multiplication, one should move beyond merely counting by ones to dealing with composites (twos, fives, etc.) and other…

The aim of this study is to determine the effect of the emotion "happy" as induced by colors on the addition performance of grade 1 pupils. The experiment involved the pupils in the experimental group (n=80) were taught addition, using modules developed by the researcher which utilized seductive augmentation of learning materials through…

Background: Early childhood education (ECE) has recently been introduced in Zambian government schools, leading to a need to examine the quality of mathematics lessons. Aim: This study focussed on guided play lessons on shapes in pre-mathematics classes and examined how they could be implemented and what children could learn in the class. Setting:…

As teachers of mathematics we encourage our students to ask good questions, and we strive to help our students find and understand answers to these questions. This journey can be made more meaningful if students conclude by reflecting on their learning process. If we find careful questioning and reflection important, we should include such…

This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…

To determine whether patterning instruction was as useful or more useful than other forms of instruction, kindergarten children (age five) were taught either patterning or early literacy or mathematics or social studies in matched sessions. Instruction was conducted in 15-minute sessions from November through mid-April. Posttests on patterning,…