The epistemic,the cognitive,the human: a commentary on the mathematical working space approach

ZDM – Mathematics Education - This article is a commentary on the mathematical working space (MWS) approach and draws on the articles contained in this ZDM issue. The article is divided into...     

On the instructional model of a blended learning program for developing mathematical knowledge for teaching

ZDM – Mathematics Education - Blended learning, which combines face-to-face workshops with self-directed online learning, is becoming a good alternative in designing and deploying...     

Erratum to: Mathematical working space and paradigms as an analysis tool for the teaching and learning of analysis

ZDM – Mathematics Education -     

An arithmetic-algebraic work space for the promotion of arithmetic and algebraic thinking: triangular numbers

ZDM – Mathematics Education - This paper presents an experiment that attempts to mobilise an arithmetic-algebraic way of thinking in order to articulate between arithmetic thinking and the...     

Utilising a research-informed instructional design approach to develop an online resource to support teacher professional learning on embedding numeracy across the curriculum

ZDM – Mathematics Education - Increasingly, digital technologies are being utilised to provide opportunities for teacher professional learning (PL) in fully online, blended and face-to-face...     

Online assessment of students’ reasoning when solving example-eliciting tasks: using conjunction and disjunction to increase the power of examples

ZDM – Mathematics Education - We argue that examples can do more than serve the purpose of illustrating the truth of an existential statement or disconfirming the truth of a universal...     

Simple pictorial mathematics problems for children: locating sources of cognitive load and how to reduce it

ZDM – Mathematics Education - Pictorial representations are often used to help children understand the situation described in a given number-sentence scheme. These static pictorial problems...     

The concept of proof in the light of mathematical work

ZDM – Mathematics Education - Our article aims to show how illuminating mathematical work as a concept from didactics of mathematics is useful in understanding issues relating to proving and...     

Mathematical help-seeking: observing how undergraduate students use the Internet to cope with a mathematical task

ZDM – Mathematics Education - We report on a study focused on identifying how undergraduate students make use of the Internet as a source of help to solve their mathematical queries. In...     

On music production in mathematics teacher education as an aesthetic experience

ZDM – Mathematics Education - This paper addresses the integrated use of the arts and digital technology in mathematics education—specifically involving aspects of preservice...     

Teachers’ pedagogical content knowledge in teaching word problem solving strategies

ZDM – Mathematics Education - This research addressed Hungarian pre-service and in-service (both elementary and lower secondary) teachers’ pedagogical content knowledge concerning the...     

Teaching students with mathematics disabilities to solve multiplication and division word problems: the role of schema-based instruction

ZDM – Mathematics Education - Mathematical knowledge involving whole number multiplication and division is integral to understanding multiplicative structures such as ratios, slope, rate of...     

Zig-zagging in geometrical reasoning in technological collaborative environments: a Mathematical Working Space-framed study concerning cognition and affect

ZDM – Mathematics Education - This study highlights the importance of cognition-affect interaction pathways in the construction of mathematical knowledge. Scientific output demands further...     

Understanding the development of mathematical work in the context of the classroom

ZDM – Mathematics Education - According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical...     

The role of pre-algebraic reasoning within a word-problem intervention for third-grade students with mathematics difficulty

ZDM – Mathematics Education - Students in the elementary grades often experience difficulty setting up and solving word problems. Using an equation to represent the structure of the problem...     

Problem solving and the use of digital technologies within the Mathematical Working Space framework

ZDM – Mathematics Education - The aim of this study is to analyze and document the extent to which high school teachers rely on a set of technology affordances to articulate epistemological...     

Addressing the role of working memory in mathematical word-problem solving when designing intervention for struggling learners

ZDM – Mathematics Education - The focus of this article is the well documented association between low working memory capacity and difficulty with mathematical word-problem solving. We begin...     

How can histograms be useful for introducing continuous probability distributions?

ZDM – Mathematics Education - The teaching of probability has changed a great deal since the end of the last century. The development of technologies is indeed part of this evolution. In...     

Mathematical working space and paradigms as an analysis tool for the teaching and learning of analysis

ZDM – Mathematics Education - Mathematical working space (MWS) is a model that is used in research in mathematics education, particularly in the field of geometry. Some MWS elements are...     

What makes mathematical word problem solving challenging? Exploring the roles of word problem characteristics,text comprehension,and arithmetic skills

ZDM – Mathematics Education - In this study we investigated word-problem (WP) item characteristics, individual differences in text comprehension and arithmetic skills, and their relations to...