More and more schools are acquiring advanced manufacturing equipment. Activities that incorporate the use of this equipment for the purpose of teaching some academic content can either be designed or redesigned for other educational purposes as well. This article describes how the authors extended an activity that was initially designed to help…

Although the topic of division by zero has been widely discussed in the literature, this subject is still confusing for students, pre-service teachers and teachers. Because of this, teachers at various grade levels may encounter difficulties in conveying the concept to their students. Therefore, in order to provide students with a strong…

Does reading a mathematical proof for validation engender different behaviors from reading it for comprehension? Experts and novices each read two mathematical proofs under different sets of instructions: they were asked to understand one proof, and to assess the validity of the other. Their eye movements were recorded while they read and were…

This paper presents the results of a systematic review of the empirical literature, reported in research journals, on Mathematics Learner Identity (MLI). In the mathematics education research field, arguments have been made that the conceptualization of Mathematics Identity (MI) is inconsistent and this makes the literature as a whole incoherent.…

This study aimed to determine the power of sense of self-efficacy in and attitudes toward math in predicting resistance to mathematics for high school students. In accordance with the aims of the study, a correlational survey model was used to determine covariance between the variables. The data for this study were collected through surveys given…

This study examines the different ways in which fractions are dealt with in two elementary mathematics textbook series: Kang Hsuan (KH) in Taiwan and Laskutaito in Finland. The results showed that the total number of fraction questions in Laskutaito is higher than that in KH and that Laskutaito highlights the basic definition of fractions to help…

Manipulation of physical models such as tangrams and tiles is a popular approach to teaching early mathematics concepts. This pedagogical approach is extended by new computational media, where mathematical entities such as equations and vectors can be virtually manipulated. The cognitive and neural mechanisms supporting such manipulation-based…

Manipulatives have been found to be effective in increasing mathematics achievement when they are put to good use (Canny, 1984; Clements & Battista, 1990; Clements, 1999; Sowell, 1989; Suydam, 1984), but their use in mathematics instruction is not clear and it is often debated to be effective (Ball, 1992; McNeil & Jarvin, 2007). The…

Aim of the research was to investigate possible impact of visuals on primary school 4th graders' problem-solving success. 108 fourth graders studying at four primary schools in Bartin city center were assigned as participants of the study. The research was carried out in 2016-2017 academic year. The model of the study was post-test control group…

Almost twenty years ago, the National Council of Teachers of Mathematics (NCTM) published "Principles and Standards for School Mathematics" (2000), which recommended that teachers should incorporate more writing into their math lessons, claiming that writing helps students "consolidate their thinking" (p. 402) by causing them…

The purpose of this article is to report on the strategies of secondary mathematics pre-service teachers (PSTs) as they solved conceptually rich problems. Using the Structure of Observed Learning Outcomes by Biggs and C (1982) (SOLO) Taxonomy, 15 PSTs' solutions (in groups of 3 or 4) were analyzed by a panel of three mathematics educators. In…

Practical instructional approaches are often criticized for focusing too exclusively on vocabulary work whereas research has revealed rich insights into the role of language on the discursive level. On the other hand, the mathematics education research community focusing on language has not yet filled the gap between research and classroom…

Mathematics teaching in the United States has notoriously and historically been classified as skill and drill instruction where the main focus of mathematics teaching is procedural fluency across all grade levels. In order to change this norm, we need to seriously consider how we prepare prospective teachers and in turn, how we support those…

This review examines a range of lesson observation frameworks designed for and used in the observation of teaching in mathematics. This includes frameworks specifically designed for international comparisons of teaching practices and teacher effectiveness, as well as those used for teaching development. Five chapters focus on: (1) Introduction…

The purpose of this research is to explore preservice teachers' attitudes and beliefs towards mathematics, mental and written computations, and mental computation anxiety, to investigate their use of different mental computation strategies using different approaches (i.e., Direct Teaching (DT) and Open-Approach (OA)) among the three different…