This paper reports findings from a Fijian study that engaged secondary mathematics teachers in a two-day professional development workshop on the use of portfolios as an alternative means of assessing student learning in mathematics. Utilising an action research approach with a view to involve teachers as key stakeholders in mathematics education,…

To address student misconceptions and promote student learning, use discussion questions as an alternative to reviewing assessments. This article describes how using discussion questions as an alternative to going over the test can address student misconceptions and can promote student learning.

Drawing upon task-based learning designs from second language acquisition, we critique how mathematics education has primarily conceived of tasks as problems to be solved. We extend the notion of communicative gaps (e.g., opinion and information) into a framework that considers the flows of information that tasks structure and facilitate. We then…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…

The use of original sources is a useful resource not only to be used with secondary school students but also with prospective mathematics teachers. In this work, we designed a series of tasks based on a fragment excerpted from Clairaut's "Éléments de Géométrie" to be carried out with 24 participants enrolled on a Masters' Degree in…

This paper reports on a research project undertaken with a group (n = 19) of Irish preservice student teachers (PSTs) during the third year of a five-year undergraduate education course. A series of workshops were carried out on the classification and design of mathematics tasks. The research is presented as a case study using mixed methods to…

A growing number of university STEM departments are incorporating active learning practices in their courses in response to evidence of the general effectiveness of such practices. Professional development for instructors new to active learning practices is increasingly important as efforts extend to reach past early adopters to engage a wider…

Nat Banting, argues that the "invert and multiply" algorithm for division of fractions is, in fact, not an algorithm. He suggests that Liping Ma's (1999) algorithm, which involves writing the fractions with a common denominator and then dividing the numerator of the first fraction by the numerator of the second fraction, is better as it…

We present a Scratch task we designed and implemented for teaching and learning coordinates in a dynamic and engaging way. We use the 5Es framework to describe the students' interactions with the task and offer suggestions of how other teachers may adopt it to successfully implement Scratch tasks.

This article presents examples of how early childhood educators (prek-2nd grade) might use their daily read alouds as a vehicle for increasing mathematical talk and mathematical connections for their students.

This paper starts by addressing a complexity theory and then distinguishing complex systems from complicated systems. After that, the paper addresses a concept study by connecting it with complex systems because a class is considered as a complex system having many students with different constraints, experiences, and perspectives including…

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

We analyzed the solution pathways and errors found in the written responses of 469 prospective teachers solving an equation containing fractions. The majority (332, or 70%) used an algebraic method; 141 of the 332 (42%) were correct, and 22% of the algebraic methods were abandoned before a solution was obtained. We identified the steps in the…

This paper introduces two central questions (1) what are available methodologies for making claims about mathematical practice and (2) when and how do claims about mathematical practice influence mathematics instruction. To motivate these questions, we critically analyze the relationship between research into mathematicians' practice and the…

In this study, we examine the connections between real analysis concepts and secondary mathematics content. This is accomplished by conducting a textbook analysis of a commonly used real analysis textbook. Concepts from the real analysis textbook were mapped to the Common Core State Standards-Mathematics (2010) to determine the relationship…