In this article, we address a call by Thompson and Carlson to directly contribute to defining the variation of students' reasoning about varying quantities. We show that students as young as in sixth grade can engage in complex forms of reasoning about multiple quantities in contexts that involve exploring science phenomena using interactive…

The aim of this study was to develop, implement, and evaluate an intervention program focusing on developing Grade 5 and 6 students' functional thinking. The innovative aspect lies in addressing simultaneously various aspects of function--input--output, covariation, correspondence, and object--in terms of manipulating tasks that involve functional…

This paper reports on a large clinical study with 193 children (Grades 3-6) who interacted with 12 digital math games during clinical interviews. Children completed a pretest, interacted with the digital math games, completed a posttest, and answered questions about their interactions with the games. During the interviews, researchers used two…

The research aimed to achieve the following objectives: 1)Assess the effectiveness of cooperative learning management utilizing the STAD technique and KWDL technique among PrathomSuksa 6 students in solving decimal problems, with a target of achieving a 75/75 criterion, 2) Enhance the problem-solving abilities of grade 6 students in mathematics by…

The current study investigated the relation between spatial ability and children's math performance, as well as the potential mechanisms underlying this relation including numerical magnitude knowledge, understanding of arithmetic operations, and word-problem representation. A sample of 221 Asian sixth graders (age 11, 129 boys) completed a series…

The present research analyses the impact that the time spent on the Internet by primary school (3rd and 6th grade) students may have on their academic progression in terms of test scores. In order to go beyond a correlational analysis, we have applied a time fixed-effects estimation using a recent longitudinal database of 15,974 students from the…

Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…

The research is motivated by the demands for the readiness of elementary school teachers and students to face the Merdeka Curriculum, one of which is the demand for HOTS-based learning. The implementation of HOTS-based learning requires an evaluation using HOTS-based test questions as well. The objectives are, (1) to analyze and examine the…

State standards include fluent use of standard computational algorithms. However, learning and using them require conceptual understanding of numbers and operations. Previous research using the concrete--representational--abstract (CRA) sequence has been effective in teaching computational algorithms to students at risk of and students with…

There is strong evidence from research conducted in the United States that fraction magnitude understanding supports mathematics achievement. Unfortunately, there has been little research that examines if this relation is present across educational contexts with different approaches to teaching fractions. The current study compared fourth and…

The aim of this pilot study is to evaluate the relevance of the use of history in mathematics education. This paper presents an experiment carried out in France with sixth-grade students (n=108) in which an ancient number system is used, an approach that is commonly suggested in French sixth-grade textbooks but has previously been unassessed.…

We examined the development of numerical magnitude representations of fractions and decimals from fourth to 12th grade. In Experiment 1, we assessed the rational number magnitude knowledge of 200 Chinese fourth, fifth, sixth, eighth, and 12th graders (92 girls and 108 boys) by presenting fraction and decimal magnitude comparison tasks as well as…

Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…

Gender stereotypes about science, technology, engineering, and math (STEM) are salient for children and adolescents and contribute to achievement-related disparities and inequalities in STEM participation. However, few studies have used a longitudinal design to examine changes in gender stereotypes across a range of STEM fields. In a large,…

Rational number knowledge is a crucial feature of primary school mathematics that predicts students' later mathematics achievement. Many students struggle with the transition from natural number to rational number reasoning, so novel pedagogical approaches to support the development of rational number knowledge are valuable to mathematics…