# Education Commons™

Problem solving

Science and Mathematics Education

Publication Year
Publication

Articles 1 - 4 of 4

## Full-Text Articles in Education

Revisiting Fibonacci And Related Sequences, Arthur Benjamin, Jennifer Quinn Feb 2014

#### Revisiting Fibonacci And Related Sequences, Arthur Benjamin, Jennifer Quinn

##### Jennifer J. Quinn

This issue focuses on proving several interesting facts about the Fibonacci Sequence using a combinatorial proof. The aim of Delving Deeper is for teachers to pose and solve novel math problems, expand on mathematical connections, or offer new insights into familiar math concepts. Delving Deeper focuses on mathematics content appealing to secondary school teachers. It provides a forum that allows classroom teachers to share their mathematics from their work with students, their classroom investigations and products, and their other experiences. Delving Deeper is a regular department of Mathematics Teacher.

Jan 2010

#### Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera

##### Kien H Lim

Impulsive disposition is an undesirable way of thinking where one spontaneously applies the first idea that comes to mind without checking its relevance. In this research, we explore (a) the possibility of helping pre-service teachers improve their disposition, from being impulsive to being analytic, in one semester, and (b) the effect of using non-proportional situations. This study involves two sections of a mathematics course for pre-service teachers for Grades 4-8. The lessons were designed whenever possible to elicit students’ impulsive disposition so that they could become cognizant of it and make conscious attempts to overcome it. Some test items were ...

Pisa 2003—Mathematical Literacy And Learning In The Americas, John Dossey, Sharon Mccrone, Ross Turner, Mary Lindquist Dec 2007

#### Pisa 2003—Mathematical Literacy And Learning In The Americas, John Dossey, Sharon Mccrone, Ross Turner, Mary Lindquist

##### Ross Turner

The article provides an overview of the mathematics assessment program of the Organization for Economic Cooperation and Developments’ (OECD) Program for Student Assessment (PISA). As such, it provides a comparative view of the PISA results for Canada, Mexico, and the United States. It outlines the program, its frameworks, and competencies PISA uses to describe the achievement of 15-year-olds in over 40 countries participating in the PISA assessments. Particular attention is given to the PISA conception of mathematical literacy and cross-disciplinary problem-solving. These two areas were a focus of the 2003 assessment. In addition to a discussion of general results, two ...

The Roles Of Modelling In Learning Mathematics, Malcolm Swann, Ross Turner, Caroline Yoon, E Muller Dec 2006

#### The Roles Of Modelling In Learning Mathematics, Malcolm Swann, Ross Turner, Caroline Yoon, E Muller

##### Ross Turner

This chapter illustrates how Applications and Modelling promote the learning of mathematics by developing the student’s mathematical language and her use of tools, and by developing the learner’s capacity to ask and answer questions in, with, and about mathematics.