Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

The use of instructional videos is rampant in education; however, their interaction is limited by weak instructional design. Gagne has never insisted on using his renowned 9 Events of Instruction slavishly in situations as a viable paradigm for utilization in video design. Connecting grade level, video length, and interaction, this study seeks to…

The purpose of this research was to develop and evaluate a number sense-based curriculum aiming to eliminate student errors due to mathematical misconceptions. A mixed method research model as one of the qualitative research approaches was adopted in this study aiming to develop a number sense-based instructional design to eliminate student errors…

The paper presents an analysis of elementary grade mathematics teaching in India focusing on mathematical reasoning. Mathematical reasoning is an important tool to make sense of mathematical ideas, which in turn makes mathematics more accessible to learners and promotes social equality. The paper analyzes 112 lessons from Grades 1 to 8 by 21…

This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…

What does it mean to have mathematical authority? How does it differ from pedagogical authority? We drew upon Goffman's (1981) ideas of author and animator to exemplify modes of mathematical authority that extend beyond the authorship of ideas. Through a series of excerpts from lessons in middle-grades mathematics classrooms, this paper emphasizes…

This study aimed to determine the mathematical thinking levels of gifted and non-gifted students and to compare them according to some variables. In this study, screening model was used from quantitative research methods. The study group of the study consists of 194 gifted students and 168 non-gifted students studying in grades 5-8 in a province…

The aim of this research is to adapt the scales "Homework Management, Homework Effort, Teacher Homework Involvement, Teacher Feedback and Parental Homework Support" into Turkish. The research data were collected from 1,698 secondary school students in grades 5 to 8. The sample was divided into four subgroups and explanatory factor…

If chosen carefully according to teaching purposes and incorporated into the curriculum, games can enhance teaching and learning. The use of didactic games while teaching maths can support students' motivation and performance during the lesson. Therefore, educational games should be preferred in maths classes as an alternative teaching method. In…

This paper introduces the LIDO, or the Low-Inference Discourse Observation tool, that captures discourse moves produced by students and teachers in whole-classroom discussions. Coding methods are described, followed by analyses that explore validity of the LIDO through correlations among LIDO-coded discourse moves and between LIDO scores and…

Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

The transition between arithmetic and algebraic thinking is challenging for students. One notable difficulty for students is understanding algebraic symbols--pronumerals. Researchers are exploring pedagogical approaches in seeking to address this issue. The current paper is contributing to this body of literature by illustrating how an online card…

Previous research provides evidence that developing a growth mindset--believing that one's capabilities can improve--promotes academic achievement. Although this phenomenon has undergone prior study in a representative sample of ninth graders in the United States, it has not been studied in representative samples of other grade levels or with…

This paper emerges from a broader study that investigated the strategies employed by teachers to continue mathematics teaching and learning during South Africa's COVID-19 lockdowns and through subsequent phased and partial re-opening of schools. In this paper, we focus on teacher views of the role of parents in these efforts gathered through two…

This 2-year longitudinal study examined relations between enjoyment of learning in Chinese and mathematics, two major subjects in Chinese schools, and indexes of school performance. The participants included 1041 students (501 boys) initially in third, fifth, and seventh grades (mean age = 10.49 years) in China. Data on enjoyment of Chinese and…