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"Mathematics Study and teaching (Secondary) Case studies."
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Experiencing School Mathematics
NORTH AMERICAN RIGHTS ONLY: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only.The first book to provide direct evidence for the effectiveness of traditional and reform-oriented teaching methods, Experiencing School Mathematics reports on careful and extensive case studies of two schools that taught mathematics in totally different ways. Three hundred students were followed over three years, providing an unusual and important range of data, including observations, interviews, questionnaires, and assessments, to show the ways students' beliefs and understandings were shaped by the different approaches to mathematics teaching. The interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools. Questions are raised about and new evidence is provided for: * the ways in which \"traditional\" and \"reform oriented\" mathematics teaching approaches can impact student attitude, beliefs, and achievement; *the effectiveness of different teaching methods in preparing students for the demands of the \"real world\" and the 21st century; *the impact of tracking and heterogeneous ability grouping; and *gender and teaching styles--the potential of different teaching approaches for the attainment of equity. The book draws some radical new conclusions about the ways that traditional teaching methods lead to limited forms of knowledge that are ineffective in non-school settings. This edition has been revised for the North American market to show the relevance of the study results in light of the U.S. reform movement, the \"math wars\" and debates about teachers, assessment, and tracking. The details of the study have been rewritten for an American audience and the results are compared with research conducted in the U.S. This is
eBook
Quality Assurance in Teacher Education and Outcomes: A Study of 17 Countries
This study investigated the relationship between policies related to the recruitment, selection, preparation, and certification of new teachers and (a) the quality of future teachers as measured by their mathematics content and pedagogy content knowledge and (b) student achievement in mathematics at the national level. The study used data collected for the Teacher Education and Development Study in Mathematics, which compared the ways in which 17 countries prepared teachers of mathematics for the primary and secondary levels. A consistent positive association was found between the strength of a country's quality assurance arrangements and future teachers' knowledge of mathematics and mathematics pedagogy. Countries with strong policies for assuring the quality of new teachers were also found to be among the strongest performers on international tests of mathematics achievement.
Journal Article
Designing and adapting tasks in lesson planning: a critical process of Lesson Study
There is no doubt that a lesson plan is a necessary product of Lesson Study. However, the collaborative work among teachers that goes into creating that lesson plan is largely under-appreciated by non-Japanese adopters of Lesson Study, possibly because the effort involved is invisible to outsiders, with our attention going to its most visible part, the live research lesson. This paper makes visible the process of lesson planning and the role and function of the lesson plan in Lesson Study, based on case studies conducted by Project IMPULS at Tokyo Gakugei University in three Japanese schools. The paper identifies key features of the planning process in Lesson Study, including its focus on task design and the flow of the research lesson, and offers suggestions for educators seeking to improve Lesson Study outside Japan.
Journal Article
An exploration of teacher and student perceptions of blended learning in four secondary mathematics classrooms
The COVID-19 pandemic forced many teachers around the world to make a sudden switch from face-to-face to online teaching. This shift in practice has provided an opportunity to reconsider how technology use in mathematics education can be utilised to improve student engagement. In this study, we explore four case studies of Australian secondary mathematics classrooms conducted prior to the COVID-19 pandemic to examine how teachers are using blended learning approaches and how their students perceive these pedagogical practices. Findings across all four sites indicate that technology use expands student opportunities to engage with mathematics learning through the provision of multiple pathways and methods of access. Specifically, we find evidence supporting the use of blended classroom teaching strategies to provide differentiation and personalised learning approaches; visualisation and dynamic manipulation of mathematics concepts; and alternative methods for teacher-student feedback and communication. We argue that the student learning experience in mathematics can be enhanced through a variety of blended learning approaches by allowing for diverse points of access to learning opportunities which are more closely aligned to individual learning needs and free from the temporal constraints of the classroom.
Journal Article
Using a Virtual Manipulative Intervention Package to Support Maintenance in Teaching Subtraction with Regrouping to Students with Developmental Disabilities
To live independently, it is critical that students with disabilities maintain the basic mathematical skills they have acquired so they may apply these skills in daily life. To support maintenance of mathematical skills among students with developmental disabilities, the researchers used a multiple probe across participants design to examine the effectiveness of the VRA instructional sequence with fading support in teaching subtraction with regrouping to four students with developmental disabilities. A functional relation was found between the VRA instructional sequence with fading support and students’ accuracy in solving the problems. Students also maintained the skill up to 6 weeks after the intervention.
Journal Article
Teachers' beliefs about school mathematics and mathematicians' mathematics and their relationship to practice
There is broad acceptance that mathematics teachers' beliefs about the nature of mathematics influence the ways in which they teach the subject. It is also recognised that mathematics as practised in typical school classrooms is different from the mathematical activity of mathematicians. This paper presents case studies of two secondary mathematics teachers, one experienced and the other relatively new to teaching, and considers their beliefs about the nature of mathematics, as a discipline and as a school subject. Possible origins and future developments of the structures of their belief systems are discussed along with implications of such structures for their practice. It is suggested that beliefs about mathematics can usefully be considered in terms of a matrix that accommodates the possibility of differing views of school mathematics and the discipline.
Journal Article
Understanding Chinese mathematics teaching: how secondary mathematics teachers’ beliefs and knowledge influence their teaching in mainland China
In this study the research was focused on the mechanisms of how Chinese in-service teachers’ beliefs about mathematics, together with their professional knowledge, affect their teaching approaches. With a quantitative survey study involving 92 in-service teachers, it identified six types of teachers with three different categories of beliefs (i.e., Instrumentalist, Platonist, and Problem-solving oriented) and two different levels (i.e., strong and limited) of subject knowledge and pedagogical content knowledge on the topic of functions. Six teachers were subsequently selected, for a detailed analysis of how the teachers’ beliefs and knowledge influenced their teaching practices. The case study results showed that teachers with different professional knowledge levels about functions and beliefs about mathematics had different teaching focuses and showed different teaching approaches. Three teaching approaches were identified, including the performance-focused content-centered approach, the understanding-focused content-centered approach, and the thinking-focused student-centered approach.
Journal Article