Teachers should not assume a problem is difficult for the students just because it appears difficult. A teacher solves one such difficult mathematical problem, an egg dilemma problem.

Problem-Based Learning (PBL) is a pedagogical approach to learning that presents curriculum-related problem or situation whose solution requires students to practice skills of analysis, integration, and application. Two settings using PBL are demonstrated to study the effectiveness and strength of this learning technique in school curriculum.

The application of knowledge in authentic learning situations involves steps like finding and focusing on the problem, gathering information, critically analyzing and effectively communicating the results. The change in the teacher's approach and encouraging use of enrichment clusters system among the students is discussed.

Teaching students to raise their voice by writing about social issues show them the power of writing and also a voice of their own. The writer's notebook, coalitions and action plan, keeping the focus on writing, and the conditions that support writing for social action are some of the procedures that a teacher will have to employ in order to help…

The calculations of uncertainties in the formula or molar masses of compounds are streamlined. Three rules of increasing complexity are proposed, which overestimate the uncertainty so there is little if any risk that the true values are missed.

This note discusses a possible method for teaching an example of problem solving to intermediate grade students. Under the guidance of the instructor, students may see the links between the 'guess' method and the arithmetic operation 'strings'. This may help enhance their logical thinking ability as well as arithmetic operation skills. For…

The successful communicator is expected to provide communications that are not only complete but also representative of effective thinking (i.e., original). Creating complete and creative communications begins with a disciplined process of discovery--identifying, assessing, prioritizing, and integrating the articulated and embedded purposes.…

The purpose of this paper is to re-examine the relationships between mathematical problem solving and learning mathematics. After introducing a diagram representing the notion of problem solving, four types of problem solving approaches used in mathematics classrooms will be distinguished according to which aspect of that diagram is attended to.…

This note explores ways in which the Fibonacci numbers can be used to introduce difference equations as a prelude to differential equations. The rationale is that the formal aspects of discrete mathematics can provide a concrete introduction to the mechanisms of solving difference and differential equations without the distractions of the analytic…

Technology is a powerful tool in assisting students in problem solving by allowing for multiple representations. The vignette offered in this article provides insight into ways to solve open-ended problems using multiple technologies.

These collected papers are a record of the proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia entitled, "Shaping the Future of Mathematics Education." The conference is held in Fremantle, as was the previous conference a decade earlier. Keynote speakers are discussing issues that are emerging more…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

"Spirituality, Religion, and Peace Education" attempts to deeply explore the universal and particular dimensions of education for inner and communal peace. This co-edited book contains fifteen chapters on world spiritual traditions, religions, and their connections and relevance to peacebuilding and peacemaking. This book examines the…

This Action Research Project is meant to investigate the effects of incorporating research-based instructional strategies into instruction and their subsequent effect on student achievement in the area of problem-solving. The two specific strategies utilized are the integration of manipulatives and increased social interaction on a regular basis.…

Students benefit from collaborative learning activities, but they do not automatically reach desired learning outcomes when working together (Fischer, Kollar, Mandl, & Haake, 2007; King, 2007). Learners need instructional support to increase the quality of collaborative processes and individual learning outcomes. The core challenge is to find…