The aim of this paper is to review recently calculus curriculum reforms and research studies that document what types of understanding students develop in their precalculus courses. We argue that it is important to characterize what difficulties students experience to solve tasks that include the use of foundational calculus concepts and to look…

The concrete-representational-abstract (CRA) approach is an instructional framework for teaching math wherein students move from using concrete materials to solve problems to using visual representations of the materials, and finally abstract concepts. This study provides a literature synthesis and meta-analysis of the effectiveness of the CRA…

This article conducts a systematic review of the literature, which seeks to present opportunities and trends in fostering creativity in science and engineering. The literature review is based on four phases: to identify eligible articles, screen and classify the selected documents, analyse the content and the citations, and report the findings and…

Counting is foundational to success with mathematics. In this synthesis, we analyzed 17 studies about counting-focused interventions for preschool and kindergarten students with mathematics difficulty or at-risk of mathematics difficulty. All interventions addressed several components of counting, including stable order, one-to-one correspondence,…

Mathematics is an essential subject in schools, helping develop cognitive skills such as critical analysis, logical reasoning, and problem-solving. However, academic achievement in mathematics often declines, with some students having difficulty understanding mathematical ideas. Many factors influence mathematics achievement, including students'…

Mathematics skills are crucial in the current job market; however, many students with disabilities are graduating high school with limited mathematics knowledge and skills. Mathematics skills are fundamental for navigating the complexities of everyday life after high school, extending their importance beyond the workplace to community engagement.…

This paper is a critical systematic literature review of empirical work on creative pedagogies from 1990 to 2018. It responds to the increased international attention being afforded creativity and creative pedagogies in research, policy and practice and examines the evidence regarding creative pedagogical practices and the potential impact of…

Mathematics teaching and learning goes beyond computations and procedures; it rather includes complex problem-solving and critical thinking. Kilpatrick, Swafford, and Findell (2001) identify five mathematical competencies that are present in mathematics learning: conceptual understanding, procedural fluency, adaptive reasoning, strategic…

This article presents a review of literature exploring five different perspectives on mathematical modeling in mathematics education. Because there is not a single agreed-on definition of what mathematical modeling is or how it should be done, a focused and extensive review of mathematical modeling is essential. The five broad classifications…

This paper describes a comprehensive review of 31 quasi or experimental research studies from the past decade on the effect of PhET simulations on students' conceptual understanding of physics. Two questions guided the review: (i) To what extent do PhET simulations enhance students' conceptual understanding of physics? (ii) What are the best ways…

Background: With the recent pivot to online instruction and/or to mixed online/face-to-face (i.e., hybrid) models of teaching necessitated by the novel coronavirus pandemic, the uses of technology to support instruction would seem to have great importance. Whereas effective integration of technology in mathematics classrooms requires recognition…

In relation to teaching and learning approaches that improve student learning outcomes, threshold concepts have generated substantial interest in higher education. They have been described as "portals" that lead to a transformed way of understanding or thinking, enabling learners to progress, and have been enthusiastically adopted to…

Though research on effective instruction in math word problem solving is prominent at the middle and secondary levels, much less work has been done in elementary grades. In this article, we review the research on varied problem-solving instructional interventions at the third-grade level for students across ability levels. Third grade was chosen…

This systematic literature review was conducted to explore the effectiveness of problem-based and project-based learning (PBL) implemented with students in early elementary to grade 8 (ages 3-14) in mathematics and science classrooms. Nine studies met the following inclusion criteria: (a) focus on PBL, (b) experimental study, (c) kindergarten to…

Public health has constituted itself as a distinct academic discipline. The present paper attempts to understand ontology of this discipline. A study has recently been carried out which concerns, first, conceptualization of ontology of public health, secondly, nature of public health, and thirdly, curriculum development. Ontology is a…