Conditions under which group work leads to learning have been studied in collaborative settings. Little is known, however, about whether and how the interplay between collaboration and cooperation impinges on group learning. In this paper, we study this interplay in the context of mathematical problem-solving. We focus on how training students to…

Background: Dot enumeration is the basic mathematics competency in young children and a significant indicator of later mathematics achievement. Aim: The present study focused on (1) how children's dot enumeration ability changed as they progressed from late kindergarten years (K3) to the second year of primary school in Hong Kong (P2), and (2) the…

Comparing probabilities is a useful skill in life. Binary choice tasks are popular means in research on probabilistic reasoning. Falk, Yudilevich-Assouline, and Elstein ("Educational Studies in Mathematics," 81(2), 207-233 2012) noted that many of these tasks contain design flaws. We designed and evaluated an extended and improved binary…

Proofs are attempts to conclusively demonstrate the validity of the claim for all cases indicated within its domain, which implies that proving should involve thoughtful consideration of the domain. This study analyzed the enactment of three general claim tasks, or tasks where the domain of the claim referred to an infinite number of cases, that…

Research over the past 20 years has suggested that our intuitive sense of number--the Approximate Number System (ANS)--is associated with individual differences in symbolic math performance. The mechanism supporting this relationship, however, remains unknown. Here, we test whether the ANS contributes to how well adult observers judge the…

The goal of this study was to characterise how third-grade primary school students understand the concept of polygon as well as relationships between polygons. Following a teaching experiment, students answered a questionnaire on the recognition of polygons and relationships between polygons, providing information about how a polygon was…

Geometrical measurement is one of the most difficult fields in primary school mathematics and regularly found to be an area of weaknesses. The factors affecting the low understanding is due to the lack of valid and reliable assessment instruments. Thus, this study aimed to develop and validate a Geometrical Measurement Skill Instrument (GMSI) to…

In 2010, Nolan and Temple Lang proposed "integration of computing concepts into statistics curricula at all levels." The unprecedented growth in data and emphasis on data science has provided an impetus to finally realizing full implementations of this in new statistics and data science programs and courses. We discuss a proposal for the…

Learning mathematics is a challenge in the current educational context. This is demonstrated by a high percentage of students who both fail to develop these numerical-type skills and have a low academic performance. This research performs a quasi-experiment to develop mathematical skills and knowledge. The sample consisted of 54 students (20…

The design of HOTS Ethnic-Mathematics is the stage that has been intended in this study. This type of research is research and development (Research and Development) by producing results in the form of Mathematics Higher Order Thinking Skill (HOTS) questions based on culture and local wisdom (Ethnic-Math HOTS). The development model referred to by…

This study examined the learning of Pi (p) numbers in elementary school mathematics. This research was conducted by employing case study method containing a single case concerning the Pi (p) numbers. A total of 432 preservice teachers participated in the study from the academic year of 2019-2020. This research employed observation, interview, and…

This paper aims to characterise an indicator of the development of the number sequence scheme among students at the level of Compulsory Secondary Education (14-16 years old students). To do so, we use a scheme development proposed by the APOS theory to characterise students' use of relations between mathematical elements when solving a…

The aim of this article is to assess the effects on learners' emotions and emotion regulation of an intervention promoting the development of cognitive strategies for mathematical problem-solving and positive perceptions of problem-solving competence (SEP), embedded in an overall self-regulated approach, with upper elementary students (N = 334,…

The key difference between math as math and math in science is that in science we blend our physical knowledge with our knowledge of math. This blending changes the way we put meaning to math and even the way we interpret mathematical equations. Learning to think about physics with math instead of just calculating involves a number of general…

The research aims at examining the counting skills of children in the preschool period. For this purpose, this study has been planned according to the "survey model". The study group of the research is comprised of 108 children with ages between 60th-72nd months, who attend kindergartens. The "Counting Skills Test" has been…