Integrating engineering education in the middle school mathematics curriculum

Many nations are experiencing a decline in the number of graduating engineers, an overall poor preparedness for engineering studies in tertiary institutions, and a lack of diversity in the field. Given the increasing importance of mathematics, science, engineering, and technology in our world, it is imperative that we foster an interest and drive to participate in engineering from an early age. This discuission paper argues for the intergration of engineering education within the elementary and middle school mathematics curricula. In doing so, we offer a definition of engineering education and address its core goals; consider some perceptions of engineering and engineering education held by teachers and students; and offer one approach to promoting engineering education within the elementary and middle school mathematics curriculum, namely through mathematical modeling.

Integrating engineering education within the elementary and middle school mathematics curriculum

Many nations are experiencing a decline in the number of graduating engineers, an overall poor preparedness for engineering studies in tertiary institutions, and a lack of diversity in the field. Given the increasing importance of mathematics, science, engineering, and technology in our world, it is imperative that we foster an interest and drive to participate in engineering from an early age. This discussion paper argues for the integration of engineering education within the elementary and middle school mathematics curricula. In doing so, we offer a definition of engineering education and address its core goals; consider some perceptions of engineering and engineering education held by teachers and students; and offer one approach to promoting engineering education within the elementary and middle school mathematics curriculum, namely through mathematical modeling.

ICT driven pedagogies and its impact on learning outcomes in high school mathematics

ICT (Information and Communication Technology) creates numerous opportunities for teachers to re-think their pedagogies. In subjects like mathematics which draws upon abstract concepts, ICT creates such an opportunity. Instead of a mimetic pedagogical approach, suitably designed activities with ICT can enable learners to engage more proactively with their learning. In this quasi-experimental designed study, ICT was used in teaching mathematics to a group of first year high school students (N=25) in Australia. The control group was taught predominantly through traditional pedagogies (N=22). Most of the variables that had previously impacted on the design of such studies were suitably controlled in this yearlong investigation. Quantitative and qualitative results showed that students who were taught by ICT driven pedagogies benefitted from the experience. Pre and post-test means showed that there was a difference between the treatment and control groups. Of greater significance was that the students (in the treatment group) believed that the technology enabled them to engage more with their learning.

Modeling as a bridge between real world problems and school mathematics

This article argues for an interdisciplinary approach to mathematical problem solving at the elementary school, one that draws upon the engineering domain. A modeling approach, using engineering model eliciting activities, might provide a rich source of meaningful situations that capitalize on and extend students’ existing mathematical learning. The study reports on the developments of 48 twelve-year old students who worked on the Bridge Design activity. Results revealed that young students, even before formal instruction, have the capacity to deal with complex interdisciplinary problems. A number of students created quite appropriate models by developing the necessary mathematical constructs to solve the problem. Students’ difficulties in mathematizing the problem, and in revising and documenting their models are presented and analysed, followed by a discussion on the appropriateness of a modeling approach as a means for introducing complex problems to elementary school students.

Basic components in the scienctific didactical training of the secondary school mathematics teachers

Secondary mathematics teacher training in Spain is currently the subject of a heated revision debate. The speed of social, cultural, scientific and economic changes have left a hundred years old teacher training model well behind. However, academical inertia and professional interests are impeding a real new training of the mathematics teacher as an autonomous mathematical educator. Teachers of Didactic of Mathematics and the Spanish Associations of mathematics teachers have recently been discussing the issue. Their conclusions are included here.

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.

School mathematics and ICT: are we doing enough? - The talk

The author discusses how to improve the use of ICT in mathematics education. A number of measures are recommended including the need to conduct an ICT-and-mathematics audit across the curriculum. The author points out that ICT is changing traditional understandings of literacy and numeracy and how it is taught. ICT approaches may help to teach things in slightly different ways, but will not necessarily do this any better than old ways. The author highlights that teaching is changing from face-to-face oral discussion to virtual talk, with ICT just the latest technology in a long line of technological innovations that have transformed teaching since the nineteenth century.

Book review : Teaching secondary school mathematics : research and practice for the 21st century

Book review of Teaching Secondary School Mathematics : Research and Practice for the 21st Century by Merrilyn Goos, Gloria Stillman & Colleen Vale