This article analyzes a popular arithmetic textbook, "Arithmetic: For the Use of Schools and Colleges," authored by Jadav Chandra Chakravarti, to examine the contents and pedagogies in the text for how mathematics was taught and learned from the end of the nineteenth century through the first half of the twentieth century in colonial…

This paper reported the design and development of a conventional and digital mathematical board game for use by students in learning arithmetic. At the time of research, there is no significant indication that a mathematical board game is available in scientific and published patent documentation. The availability of mathematical board games for…

Against the background of the low mathematical performance of South African learners in international panel studies, there is an urgent need to improve mathematical education. In particular, the curriculum and its structure raise questions. It is logical that the prescribed curricula should align with learners' developmental trajectories. Given…

This paper describes some elements of a specific kind of design-based research, cooperative engineering. In the first part of the paper, we argue that cooperative engineering can be analyzed through a joint action framework. We first present some conceptual tools that the Joint Action Theory in Didactics proposes in order to understand didactic…

The goal of developmental education (also known as remedial or basic skills education) is to help students acquire the skills they need to be successful in college courses, but its track record is poor. In fact, it is one of the largest impediments to student success in California's community colleges. Many students do need additional work to be…

The aim of the study reported in this paper was to explore and enhance experienced school mathematics teachers' knowledge of students'thinking, as it is manifested in practice. Data were collected from records of classroom observations, interviews with participating teachers, and weekly teacher-researcher meetings organized in the school. In this…

Trends in the curriculum reform propose that algebra should be taught throughout the grades, starting in elementary school. The aim should be to decrease the discontinuity between the arithmetic in elementary school and the algebra in upper grades. This study was conducted to investigate and characterise upper elementary school students…

Asian children, including Chinese children, perform better than their English-speaking peers in cross-national mathematics studies. This superior Asian performance is attributed to several factors including cultural beliefs, educational systems and practices, and the Chinese number naming system. Given the limited empirical evidence on pre-school…

This study involving 120 Australian and Chinese teachers introduces a construct of teacher capacity to analyse how teachers help students connect arithmetic learning and emerging algebraic thinking. Four criteria formed the basis of our construct of teacher capacity: knowledge of mathematics, interpretation of the intentions of official curriculum…

This dissertation examines the manner in which young school-age children construct quantitative mental imagery and act upon these constructions for arithmetic ends. After conducting dyadic teaching experiments with three first grade students who were participating in mathematics intervention, I found the connection between the participants'…

Technology and mathematics. manipulatives have been brought together in a new format. This joining has resulted in virtual manipulatives that are available on the Internet for students. Virtual manipulatives have been defined as computer based renditions of common mathematics manipulatives and tools. Just as a physical object can be flipped,…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

Teacher planning procedures employing percentage-based measurement summaries and subsequent implementation of the results of planning with and without error analysis resulted in moderate increases in correct mathematics computation of learning disabled 10-13 year olds. No significant differences were found for presence or absence of error…

Reported is the construction of a primary mathematics curriculum on two kinds of data: the structure of mathematics itself, and the developmental realities of the child. Principles which have been assumed in this development are (1) since mathematics is abstract, the process of abstracting mathematics must be well prepared, (2) since mathematics…