The fundamental philosophy embedded in lesson study is the collaborative practice of teachers working together to plan, teach, observe, reflect and refine lessons. It has been well established that collaboration strengthens teacher collegial relationships and enhances pedagogical content knowledge. While teacher collaboration seems to be a norm in…

In this paper the teachers' learning journey on designing a mathematics problem that involves a real-life context is reported. This is part of a larger project undertaken in a primary school in Singapore where the teachers were engaged in planning, observing and critiquing mathematics lessons to investigate teaching and learning. These unique…

In this paper we demonstrate that "lesson study" may be adapted from its primary use as a professional development strategy for use as a research strategy, especially to identify principles of good lesson design. We report on a project undertaken in two Australian secondary schools where lesson study research was used to investigate the design of…

What is the product of Lesson Study? Lesson Study is a scientific activity for teachers based on the methodology introduced in the 1880s. In Japan, research topics for Lesson Study are usually shared through the regular revisions of the curriculum and the research movement of several societies. As a result of teachers' efforts to overcome…

In Thailand, the Center for Research in Mathematics Education (CRME) has been implementing Japanese Lesson Study (LS) since 2002. An adaptive feature of this implementation was the incorporation of four phases of the Open Approach as a teaching approach within the three steps of the LS process. Four phases of this open approach are: 1) Posing…

This paper reports on a study to examine mental computation strategies used by Year 1, Year 2, and Year 3 students to solve addition and subtraction problems. The participants in this study were twenty five 7 to 9 year-old students identified as excellent, good and satisfactory in their mathematics performance from a school in Penang, Malaysia.…

Newman (1977, 1983) defined five specific literacy and numeracy skills as crucial to performance on mathematical word problems: reading, comprehension, transformation, process skills, and encoding. Newman's Error Analysis (NEA) provided a framework for considering the reasons that underlay the difficulties students experienced with mathematical…

National tests, an influential assessment practice in many countries in East Asia, are often blamed as obstacles to good instructional practices. In this paper, the positive impact of assessment, national tests in particular, is discussed using the case of Singapore. The first part of the paper includes an analysis of items from the primary grade…

PISA, the OECD's international program of assessment of reading, scientific and mathematical literacy, aims to assess the knowledge and skills that students have acquired at school and their ability to use them in everyday tasks and challenges. It also uses questionnaires to gather data on students' attitudes to learning and the conditions of…

Multilingual classrooms are the normal learning contexts for most children throughout the world. However not all such contexts are identical. This distinction is not always made in the literature. In this paper the multilingual context for classrooms in many urban classrooms in Australia is described before exploring a possible model that might be…

Demonstrations are a core part of science teaching. In 1980 a three-part assessment method using demonstrating was proposed. Known as DOE this consisted of demonstration, observation and explanation. DOE quickly evolved into POE: predict, observe, explain. In the light of experiences with POE and insights from constructivist theory we set out in…

Powerful geometric software has been available to education for around 20 years but has not had the impact on teaching and learning of mathematics, science and technology that might have been expected. This is in contrast to the widespread adoption of software tools in the world outside education which use geometric algorithms to produce visual…

A tenet that appears to be accepted throughout the world is that effective teachers establish and maintain control over their students. This is an assertion that I challenge and deconstruct. In fact, for many teachers their well-intentioned efforts to establish and maintain control over students lead to their demise as teachers and for many more…

This paper describes an in-service professional development course in introducing creative approaches to teach mathematics for teachers from the private-funded schools in Java, Indonesia. The course focused on introducing teachers to problem-solving processes and skills, and samples of activity-based worksheet on problem solving through secondary…

This paper describes an activity which attempts to change the discourse of a mathematics classroom with the specific intent to help children who may have difficulties with mathematics and ways of communicating. Ten 8-year old children in the Learning Support Programme were engaged in an open-ended geometric task. In this paper a brief description…