In this article, we report on a three-pronged effort to create a hypothetical learning progression for quantification in science. First, we drew from history and philosophy of science to define the quantification competency and develop hypothetical levels of the learning progression. More specifically, the quantification competency refers to the…

This paper reports a study that explored 11 to 12-year-olds' conceptions of the terms 'volume', 'capacity' and 'interior volume'. Semi-structured interviews, supported by the use of measurement resources, were used to gain insight into their thinking. Video-recordings of the interviews allowed analysis of dialogue, actions with the materials and…

This paper describes a task that was used, in a broader study on mathematical giftedness and mindsets, as part of a process to identify mathematical giftedness in primary school students (see Parish, 2019). A discussion of the task, together with an analysis of student responses, offers insights that could be used by classroom teachers for both…

This paper contributes to the symposium, "Research methods involving children's drawings in mathematical contexts" by exploring the "drawing-telling" approach to researching with young children. "Drawing-telling" is a methodological approach that encourages young children to represent their experiences and…

In more and more countries, the goal of mathematics education is to develop students' mathematical competence beyond procedural and conceptual knowledge. Thus, students need to engage in a rich variety of tasks comprising competencies such as communication, reasoning and problem-solving. In addition, assessment tasks should be constructed to…

Current understanding of the development of quantity representations is based primarily on performance in the number-line task. We posit that the data from number-line tasks reflect the observer's underlying representation of quantity, together with the cognitive strategies and skills required to equate line length and quantity. Here, we specify a…

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Student thinking, a learning cycle, and procedural fluency are discussed in this article, which is the second installment in the series. [For the first installment in this series see "Promoting a Conceptual Understanding…

Some students may be diagnosed with a learning disability in mathematics or dyscalculia, whereas other students may demonstrate below-grade-level mathematics performance without a disability diagnosis. In the literature, researchers often identify students in both groups as experiencing math difficulty. To understand the performance of students…

Comprehending a mathematical modelling task is a central prerequisite for the following modelling process. In this study, we investigated the roles that the language proficiency of the students and the linguistic wording of the task play for the comprehension and the successful solving of mathematical modelling tasks. Five mathematical tasks with…

In this paper I explore eleven undergraduate students' comprehension of a proof taken from an undergraduate abstract algebra course. My interpretation of what it means to understand a proof is based on a proof comprehension model developed by Mejia-Ramos, et al. (2012). This study in particular examines the extent to which undergraduate students…

Mathematical and didactic knowledge presented in mathematics textbooks and other resources, like mathematics comics (MCs), needs to be evaluated from a lens of appropriate theoretical framework in mathematics education before it can be used as a medium for teaching and learning mathematics. Therefore, this study investigates mathematical and…

One of the most commonly identified obstacles in the learning-teaching of quantitative material is statistics anxiety. Of the factors analysed in relation to statistics anxiety, age and gender have received a substantial proportion of the research focus. Yet there is limited work that systematically examines the possibility of an…

It is widely understood that preschool should provide children the mathematical foundational skills necessary for later success. This study examines seven preschool teachers and their use of a variety of pedagogical strategies to develop foundational mathematics concepts. Using a qualitative research design, this study uses the CLassroom…

Playing board games is known to improve pre-school student numeracy and many board games are used to motivate and explore concepts in probability. This study investigates whether college students in liberal arts mathematics courses assigned to play the board game "Settlers of Catan" develop a stronger grasp of basic probability concepts…

This study investigated the effectiveness of inquiry-based learning (IBL) approach in ratio and proportion on the mathematics reasoning skill of seventh-grade students. The study was carried out in a seventh-grade mathematics course in a middle school located in the Central Anatolia region of Turkey during the 2016-2017 academic year. The IBL…