Little is known about the cognitive effort associated with algebraic activity in the elementary and middle school grades. However, this investigation is significant for sensitizing teachers and researchers to the mental demands of algebra learning. In this paper, we focus on the relationship between algebraic thinking and domain-general cognitive…

In this article, we consider the phenomenon of improvisation by small groups of middle years students while engaged in rich mathematical tasks in a classroom setting. Working from the premise that improvisation comprises a spectrum of behaviour, we propose that there is a range of improvisational behaviours that may be observed as the students…

This paper extends work in the areas of quantitative reasoning and covariational reasoning at the undergraduate level. Task-based interviews were used to examine third-semester calculus students' reasoning about partial derivatives in five tasks, two of which are situated in a mathematics context. The other three tasks are situated in real-world…

The purpose of the present study was to examine the association between Chinese preschool children's home numeracy experiences and their mathematical abilities. The parents of 515 4- to 5-year-old preschool children reported their frequency of participation in home numeracy activities, and the children were assessed on their math ability. The…

The hearing impairment can result in students having difficulty accepting learning. Obstacles Students in special schools when observing the understanding the numeracy skills. Students have problems sorting numbers and adding numbers from 1 to 10. Numeracy skills are an introductory lesson in learning mathematics. Several studies have shown that…

The general objective to be achieved in this study is to determine the effect of using Blended Learning in terms of Intrapersonal Intelligence on Problem Solving Ability. This research is a quasi-experimental research with a two × three factorial design. Documentation, questionnaires, and tests were carried out the data collection method. The…

This paper examined the problem-solving and problem-posing skills of middle school students in terms of whether the factors of gender and school type have an impact, as well as to illustrate these skills with respect to grade levels. A total of 461 students from different middle school levels of both private and public schools participated in the…

Possessing mathematical competence is a pre requisite for independently comprehending, understanding and applying all features of mathematical modelling in a particular setting. This research study thus explores the mathematical modelling competencies that Grade 10 learners exhibit while solving contextual problems in a mathematics learning and…

Children from economically disadvantaged communities have a disproportionate risk of exposure to chemicals, social stress, and learning difficulties. Although animal models and epidemiologic studies link exposures and neurodevelopment, little focus has been paid to academic outcomes in environmental health studies. Similarly, in the educational…

This formative study of a multiplicative reasoning (MR) intervention explored the intervention's potential for improving the ability of third-grade struggling students' ability to reason with multiplicative concepts and procedures. The feasibility of the study was examined in a school setting before a randomized control trial was conducted.…

This article is aimed at educators concerned with curricular initiatives that foster STE(A)M projects in secondary education to promote mathematics competencies. Research has recently reported that these projects superficially address mathematics content, hampering the development of competencies the consensus deems necessary to prepare citizens…

This study aimed to examine the diagrammatic representation skills and problem-solving performances of students according to their problem-solving representations. A cross-sectional survey design using quantitative methods was used in this study. The sample consisted of 31 second-grade and 41 third-grade students from a public primary school in…

Background: Prior work has shown that middle school students struggle with algebra and that game-based educational technologies, such as DragonBox and From Here to There!, are effective at improving students' algebraic performance. However, it remains unclear which aspects of algebraic knowledge shift as a result of playing these games and what…

Information about program implementation provides critical information for the interpretation of results from randomized trials. The present study provides an evaluation of the implementation of a Cognitively Guided Instruction mathematics teacher professional development as part of a large scale randomized controlled trial with teachers in first-…

Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient problem-solving strategies (McIntosh et al., 1997; Yang, 2005). Despite being highlighted in national standards and policy documents (CCSS, 2010; NCTM, 2000), the association between…