Changing representations and practices in school mathematics: the case of Modern Math in Portugal

The curricular movement known as Modern Mathematics aimed at the transformation of representations and practices in school mathematics. Its study provides us with ways of understanding how these changes came about. The purpose of this paper is to contribute to the understanding of the ways in which representations of school mathematics gradually were influenced by ideas from the Modern Mathematics movement, how these new ideas merged into local educational traditions, and how they were transformed into meaningful practice. This work is centred on the Portuguese context from the middle 1950s to the middle 1960s, and builds on Chervel’s notion of school culture and Gruzinski’s discussion of connected histories.

Una visión actualizada de la didáctica de la matemática en educación infantil = An up-to-date vision of pre-school mathematics teaching

This article aims to investigate pre-school mathematics teaching from an uptodate perspective. To pursue this contemporary vision we focus on four key questions: what kind of maths is being worked on, who is doing it, how it is being done, and why it is being done

Elementary & Middle School Mathematics.

El objetivo de este libro es ayudar a los profesores de matemáticas de enseñanza secundaria a enseñar al amplio rango de estudiantes que se encuentran en sus clases. El libro consta de veintitrés capítulos (Que significa aprender y entender matemáticas, la enseñanza sobre la resolución de problemas, enseñar matemáticas a todos los niños, estudiantes con necesidades especiales, usar tecnología para enseñar matemáticas, ordenadores y calculadoras en instrucciones matemáticas, pensamiento algebraico, desarrollar fracciones, decimales y porcentajes, exponentes, sumas y restas, multiplicaciones y divisiones).

Elementary and middle school mathematics.

Esta guía es un método de enseñanza para los profesores que quieran enseñar a sus alumnos matemáticas de escuelas primarias y secundarias. Los temas del libro son: como usar una calculadora, aprender sobre la división, multiplicación de fracciones, comparando ratios, usar datos para responder a una pregunta, crear un juego, sugerencias para el uso y la construcción de materiales, el medio ambiente y los estudiantes, aprender a través de los problemas, crear y usar rúbricas, preparar a una familia para la actividad en casa, enseñar a un pequeño grupo, sugerencias para el uso y la construcción de materiales.

A sociocultural framework for understanding technology integration in Secondary School mathematics. 'Un marco sociocultural para comprender la integración de la tecnología en las matemáticas escolares de Secundaria'.

Resumen basado en el de la publicación

Relationship between classroom authority and epistemological beliefs as espoused by primary school mathematics teachers from the very high and very low socio-economic regions in Thailand

This article presents findings of a larger single-country comparative study which set out to better understand primary school teachers’ mathematics education-related beliefs in Thailand. By combining the interview and observation data collected in the initial stage of this study with data gathered from the relevant literature, the 8-belief / 22-item ‘Thai Teachers’ Mathematics Education-related Beliefs’ (TTMEB) Scale was developed. The results of the Mann-Whitney U Test showed that Thai teachers in the two examined socio-economic regions espouse statistically different beliefs concerning the source and stability of mathematical knowledge, as well as classroom authority. Further, these three beliefs are found to be significantly and positively correlated.

Calculators in a Middle School Mathematics Classroom: Helpful or Harmful?

In this action research study of my classroom of eighth grade mathematics, I investigated the use of calculators. Specifically, I wanted to know the answer to three questions. I wanted to know more about what would happen to my students’ ability to recall basic math facts, their ability to communicate mathematically during problem solving, and their attitude when my students were or were not permitted to use their calculator. I discovered that in my research, I did not find enough evidence to either support or reject my initial hypotheses, that calculators largely influenced my students’ behavior, and also that my students’ ability to recall basic math facts would change when using a calculator. As a result of this research, I plan to continue my research within my classroom. I plan to further investigate the use of calculators within my classroom.

Motivating Middle School Mathematics Students

In this action research study I examined the relationship between the teacher, the students and the types of motivation used in mathematics. I specifically studied the mathematic teachers at my school and my seventh grade mathematics students. Motivating middle school students is difficult and the types of motivation can be as numerous as the number of students studied. I discovered that the teachers used multiple motivating tactics from praise, to extra time spent with a student, to extra fun activities for the class. I also discovered that in many instances, the students’ perception of mathematics was predetermined or predetermined by parental perceptions of mathematics. The social environment of the student and a sense of belonging also plays a role in how motivated a student stays. As a result of this research, I plan to notify the mathematics teachers at my school of the most effective types of motivation so we can become a more effective mathematics department.

Cooperative Learning Groups in the Middle School Mathematics Classroom

In this action research study of my classroom of 8th grade mathematics, I investigated the inclusion of cooperative learning groups. Data was collected to see how cooperative learning groups affected oral and written communication, math scores, and attitudes toward mathematics. On the one hand, I discovered that many students enjoyed the opportunity to work within a group. On the other hand, there continues to be a handful of students who would rather work alone. The benefits outweigh the demands. Overall, students benefitted from the inclusion of cooperative learning groups. Oral explanations of solutions and methods improved during the study. Written expression also improved over this time period. As a result of this research, I plan to continue with the incorporation of cooperative learning groups in the middle school math classroom.

High school mathematics /

Each unit comprises Student's ed. and Teachers' ed., interleaved.

Junior high school mathematics, first [-third] course,

Mode of access: Internet.

Junior high school mathematics : seventh school year /

Mode of access: Internet.

Secondary-school mathematics /

Includes index.

High school mathematics : a first course /

Includes index.

Junior high school mathematics /

Includes index.