The effects of teaching a mathematics problem solving strategy on the problem solving ability of grade nine students

Forty grade 9 students were selected from a small rural board in southern Ontario. The students were in two classes and were treated as two groups. The treatment group received instruction in the Logical Numerical Problem Solving Strategy every day for 37 minutes over a 6 week period. The control group received instruction in problem solving without this strategy over the same time period. Then the control group received the treat~ent and the treatment group received the instruction without the strategy. Quite a large variance was found in the problem solving ability of students in grade 9. It was also found that the growth of the problem solving ability achievement of students could be measured using growth strands based upon the results of the pilot study. The analysis of the results of the study using t-tests and a MANOVA demonstrated that the teaching of the strategy did not significaritly (at p s 0.05) increase the problem solving achievement of the students. However, there was an encouraging trend seen in the data.

Teachers' professional learning within communities of mathematics-for-teaching practice

Ontario bansho is an emergent mathematics instructional strategy used by teachers working within communities of practice that has been deemed to have a transformational effect on teachers' professional learning of mathematics. This study sought to answer the following question: How does teachers' implementation of Ontario bansho within their communities of practice inform their professional learning process concerning mathematics-for-teaching? Two other key questions also guided the study: What processes support teachers' professional learning of content-for-teaching? What conditions support teachers' professional learning of content-for-teaching? The study followed an interpretive phenomenological approach to collect data using a purposive sampling of teachers as participants. The researcher conducted interviews and followed an interpretive approach to data analysis to investigate how teachers construct meaning and create interpretations through their social interactions. The study developed a model of professional learning made up of 3 processes, informing with resources, engaging with students, and visualizing and schematizing in which the participants engaged and 2 conditions, ownership and community that supported the 3 processes. The 3 processes occur in ways that are complex, recursive, nonpredictable, and contextual. This model provides a framework for facilitators and leaders to plan for effective, content-relevant professional learning by placing teachers, students, and their learning at the heart of professional learning.

Using Effective Teaching Strategies and Personality Type to Enhance the Mathematics Classroom: A Handbook for Intermediate Math Teachers

This project addressed the need for more insightful, current, and applicable resources for intermediate math teachers in Canadian classrooms. A need for a handbook in this division seemed warranted by a lack of government resource support. Throughout an extensive review of the literature, themes and topics for the handbook emerged. The handbook was designed to not only provide educators with examples of effective teaching strategies within the mathematics classroom but to also inform them about the ways in which their personal characteristics and personality type could affect their students and their own pedagogical practices. Three teaching professionals who had each taught in an intermediate math class within the past year evaluated the handbook. The feedback received from these educators was directly applied to the first draft of the handbook in order to make it more accessible and applicable to other math teachers. Although the handbook was written with teachers in mind, the language and format used throughout the manual also make it accessible to parents, tutors, preservice education students, and educational administrators. Essentially, any individual who is hoping to inspire and educate intermediate math students could make use of the content within the handbook.

Applications and modelling in mathematics teaching

The aim of this paper is a comprehensive presentation of some important basic and general aspects of the topic applications and modelling, with emphasis on the secondary school level. Owing to the review character of this paper, some overlap with the survey paper Blum and Niss (1989) for ICME-6 in Budapest is inevitable. The paper will consist of three parts. In part 1, I shall try to clarify some basic concepts and remind the reader of a few application and modelling examples suitable for teaching. In part 2, I shall formulate some general aims for mathematics instruction and, on that basis, summarise the most important arguments for and against applications and modelling in mathematics teaching. Finally, in part 3, I shall discuss some relevant instructional aspects resulting from the considerations in part 2.

Foundation mathematics : teaching the early years.

Es un nuevo recurso para la etapa de tres a cinco años. Está pensado para apoyar los objetivos de aprendizaje temprano y muestra a los niños cómo usar las matemáticas en el mundo real, además para trabajar con toda la clase cálculo mental, juego de roles en escenarios que proporcionan una variedad de contextos ricos en matemáticas. Los temas estimulan en los niños los propios intereses y el sentido de la curiosidad. Cada unidad dispone de : una serie progresiva de actividades para apoyar el desarrollo de los niños desde la enseñanza preescolar. Un alto nivel de apoyo para el profesional, para desarrollar las actividades y sugerencias para apoyar a los niños con capacidades diferentes.

Teaching and learning mathematics : a guide to research and its applications. 'Enseñando y aprendiendo matemáticas : una guía para el estudio y sus aplicaciones'.

El objetivo de esta obra es ofrecer una revisión de algunas de las investigaciones sobre la enseñanza de las matemáticas. En esta edición, se sintetizan las conclusiones de las investigaciones más recientes en diferentes partes del mundo. Abarca cuestiones tan diversas como el número y el cálculo; la forma y el espacio; probabilidad y estadística; investigación en el aula. Se han añadido dos nuevos capítulos, uno sobre el uso de la tecnología en la enseñanza de las matemáticas y otro en la solución de problemas. Cada capítulo ofrece una visión general de las investigaciones más recientes y un análisis detallado de los hallazgos más importantes. La investigación está relacionada con cuestiones del progreso de los alumnos, la diferenciación de la enseñanza y el rol de género. Tiene una extensa bibliografía.

Mathematics. Teaching school subjects 11-19

Es una introducción general a la enseñanza de las matemáticas en la escuela secundaria, pues proporciona a los profesores los conocimientos que necesitan saber sobre aprendizaje, enseñanza, evaluación, curriculo y desarrollo profesional.

100 ideas for teaching primary mathematics.

Es un recurso para los profesores y personal de apoyo que quiere completar y mejorar el programa de estudios de matemáticas de primaria, aunque aquí predominan los conceptos de números. Todas las ideas expuestas se han utilizado con éxito en las clases y las actividades y juegos fomentan la colaboración en parejas o en grupos entre los niños.

Organizations concerned with the teaching of science and mathematics in Britain. 'Organizaciones que se ocupan de la enseñanza de las Ciencias y Matemáticas en Gran Bretaña'.

Texto en lengua inglesa

Mathematics meaning-making and its relation to design of teaching

Resumen tomado de la publicaci??n

Inclusive approaches to teaching and learning mathematics

This chapter explores the role of mentors in supporting pre-service teachers to include all children in mathematics teaching, no matter what their individual needs.