Pupils' ability to represent mathematical concepts in multiple ways is a central aspect of mathematical competence and communication. Thus, classroom instructions should be able to support learners in using multiple representations (MRs) to increase the quality and quantity of connections to a network of ideas. Given the importance of bansho…

In this paper, we explore theoretical approaches to Japanese teachers' lesson designs involving the adaptation of mathematics textbooks for instructional change. In Japan, although most teachers use textbooks as the main resource for lesson planning, called "kyouzai kenkyuu," the ways in which they use textbooks can differ. In a…

This study aims to examine how cross cultural analysis can lead to deeper understanding of the cultural script of teaching, and how teachers learn to transform their teaching script through a research-based transnational learning platform. In this study, emphasis is placed on a cross cultural analysis to view in depth the cultural script of…

While proof is central to mathematics, difficulties in the teaching and learning of proof are well-recognised internationally. Within the research literature, a number of theoretical frameworks relating to the teaching of different aspects of proof and proving are evident. In our work, we are focusing on secondary school students learning the…

Research tells us much about the effects of primary and lower-secondary schooling on skills inequality, but we know less about the impact of the next stage of education. This article uses a differences-in-differences analysis of data on literacy and numeracy skills in PISA 2000 and SAS 2011/12 to assess the contribution of upper-secondary…

This study aims to describe how the learning study model can be used to improve lesson design and children's learning outcomes by enabling them to perceive and define the critical aspects of the object of learning, guided by variation theory. Three lesson designs were used with three groups of children (A = 24, B = 13, C = 14) from two schools.…

This paper describes a pedagogical framework that teachers can use to support students who are engaged in solving open-ended problems, by explaining how two Japanese expert teachers successfully apply open-ended problems in their mathematics class. The Open-Ended Approach (OPA) framework consists of two main sections: Understanding Mathematical…

Textbooks play an important part in the design of instruction. This study analyzed the presentation of fractions in textbooks designed for the elementary grades in Kuwait, Japan, and the USA. The analysis focused on the physical characteristics of the books, the structure of the lessons, and the nature of the mathematical problems presented.…

Three-dimensional dynamic geometry software has the power to enhance students' learning of spatial geometry. The purpose of this research is to clarify what potential using three-dimensional dynamic geometry software can offer us in terms of how to develop the spatial geometry curriculum in lower secondary schools. By focusing on the impacts the…

In Japan, "jugyou kenkyuu"--or lesson study--is the most common form of professional development among elementary school and lower-secondary school teachers. While in the United States it is best known as a means of improving math instruction, in Japan, lesson study is practiced in all subjects, from language studies to physical…

This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to test the opportunity of extending the conventional curriculum by optional applied problem-solving activities and get initial evidence on the possible…

Describes a study that investigated how computers were incorporated into an eighth grade mathematics lesson in Japan and how Gagne's nine events of instruction were also incorporated into the lesson. Discusses use of a lesson from the TIMSS (Third International Mathematics and Science Study) Videotape Classroom Study. (Author/LRW)

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

An important area for the application of instructional design is the development of effective teaching strategies for mathematics. Activities that include the use of computers, cooperative learning, and active learning materials are associated with mathematics achievement. Student self-beliefs are also significantly related to mathematics…

This paper describes curriculum content in two areas--mathematics and international studies--in the secondary schools of Canada, Japan, West Germany, the USSR, and the United States. Relevant background on teacher preparation and on the structure and organization of secondary schooling in each country is introduced to provide a context for the…