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Direct linkQuinnell, Lorna – Australian Primary Mathematics Classroom, 2018
Successful mathematical problem-solving relies on choices about how best to represent and solve problems. In this article, a range of methods and strategies are presented for solving a single mathematical problem, including novel methods posed by in-service teachers at one Australian university. The variety of problem-solving strategies rely on…
Descriptors: Problem Solving, Selection, Mathematics, Methods
Laine, A. D. – Australian Senior Mathematics Journal, 2015
There are many geometrical approaches to the solution of the quadratic equation with real coefficients. In this article it is shown that the monic quadratic equation with complex coefficients can also be solved graphically, by the intersection of two hyperbolas; one hyperbola being derived from the real part of the quadratic equation and one from…
Descriptors: Geometric Concepts, Geometry, Equations (Mathematics), Problem Solving
Wilkie, Karina J. – Educational Studies in Mathematics, 2016
Algebra has been explicit in many school curriculum programs from the early years but there are competing views on what content and approaches are appropriate for different levels of schooling. This study investigated 12-13-year-old Australian students' algebraic thinking in a hybrid environment of functional and equation-based approaches to…
Descriptors: Secondary School Mathematics, Algebra, Thinking Skills, Problem Solving
Dry, Matthew J.; Preiss, Kym; Wagemans, Johan – Journal of Problem Solving, 2012
We investigated human performance on the Euclidean Traveling Salesperson Problem (TSP) and Euclidean Minimum Spanning Tree Problem (MST-P) in regards to a factor that has previously received little attention within the literature: the spatial distributions of TSP and MST-P stimuli. First, we describe a method for quantifying the relative degree of…
Descriptors: Problem Solving, Mathematical Applications, Graphs, Performance
Hill, Matthew; Sharma, Manjula Devi – EURASIA Journal of Mathematics, Science & Technology Education, 2015
To succeed within scientific disciplines, using representations, including those based on words, graphs, equations, and diagrams, is important. Research indicates that the use of discipline specific representations (sometimes referred to as expert generated representations), as well as multi-representational use, is critical for problem solving…
Descriptors: Case Studies, Graduate Students, Qualitative Research, Coding
Download full textBrown, Jill P. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This paper reports an instrumental case study of the strategies employed by Year 11 students engaged in solving a functions population task. The task was implemented as part of a study of students studying functions in a Technology-Rich Teaching and Learning Environment (TRTLE). Student strategies related to the perception and enactment of…
Descriptors: Secondary School Students, Grade 11, Secondary School Mathematics, Technology Uses in Education
Walwyn, Amy L.; Navarro, Daniel J. – Journal of Problem Solving, 2010
An experiment is reported comparing human performance on two kinds of visually presented traveling salesperson problems (TSPs), those reliant on Euclidean geometry and those reliant on city block geometry. Across multiple array sizes, human performance was near-optimal in both geometries, but was slightly better in the Euclidean format. Even so,…
Descriptors: Problem Solving, Mathematical Applications, Graphs, Geometry
Kommers, Piet, Ed.; Issa, Tomayess, Ed.; Issa, Theodora, Ed.; McKay, Elspeth, Ed.; Isias, Pedro, Ed. – International Association for Development of the Information Society, 2016
These proceedings contain the papers and posters of the International Conferences on Internet Technologies & Society (ITS 2016), Educational Technologies (ICEduTech 2016) and Sustainability, Technology and Education (STE 2016), which have been organised by the International Association for Development of the Information Society and…
Descriptors: Conferences (Gatherings), Foreign Countries, Internet, Educational Technology
Pracana, Clara, Ed.; Wang, Michael, Ed. – Online Submission, 2016
We are delighted to welcome you to the International Psychological Applications Conference and Trends (InPACT) 2016, taking place in Lisbon, Portugal, from 30 of April to 2 of May, 2016. Psychology, nowadays, offers a large range of scientific fields where it can be applied. The goal of understanding individuals and groups (mental functions and…
Descriptors: Conferences (Gatherings), Educational Psychology, Clinical Psychology, Social Psychology
Goos, Merrilyn, Ed.; Brown, Ray, Ed.; Makar, Katie, Ed. – Mathematics Education Research Group of Australasia, 2008
This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…
Descriptors: Feedback (Response), Constructivism (Learning), Educational Development, Practicums
