In some European countries inquiry-based learning (IBL) has become popular in primary and secondary mathematics education, especially for scienceconnected content. On the other hand, problem-based learning (PBL) and project-based learning (PjBL) have a longer history in mathematics, science, technology, engineering (STEM) and in some other fields…

The educational benefits of challenge- or problem-based approaches to learning are now well established. Action Research (AR) and Action Learning (AL) together provide educators with an ethic, a research methodology and a pedagogical strategy for harnessing and developing the motive power of purposeful activity for reflective enquiry in teaching…

The purpose of this quantitative, quasi-experimental study was to determine if, and to what extent, technology-enhanced problem-based formative assessment instruction would have an impact on college students' algebra learning and development of critical thinking skills, when compared to traditional classroom instruction in a first-year college…

Interdisciplinary teaching in STEM is often seen as a collaboration of different subjects teaching a common theme. This view undermines successful interdisciplinary approaches that can be deployed in a single class. Two examples of interdisciplinary math lessons, using pie charts and bar charts respectively, will be used to demonstrate how this…

The study describes an innovative methodology for teaching natural and mathematical sciences in the context of distance learning using modern technological solutions and based on the concepts of active social learning that involves constructivist, problem-oriented, project and research approaches. The proposed methodology was tested on 80 students…

Traditional teaching approaches are generally teacher-directed, where students are taught in a manner that is conducive to sitting and listening. It is often argued that these approaches may not provide students with valuable learning skills, and rather that non-traditional approaches to teaching and learning might better endow students with such…

Communicating their thinking in mathematics is challenging for young children. This research studied the change in six-year old students' oral and written solution explanations before and after six problem-based mathematics lessons that focused on developing conceptual understanding of adding or subtracting a 2-digit number and a multiple of ten.…

This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things…

The research has shown a model of learning activities that can be used to stimulate reflective abstraction in students. Reflective abstraction as a method of constructing knowledge in the Action-Process-Object-Schema theory, and is expected to occur when students are in learning activities, will be able to encourage students to make the process of…

This study examined the influence of kindergarten teachers' orientations toward student-centered teaching and their influence on their students' understanding of addition. The study examined 120 students across 10 classrooms. Based on an interview and two classroom observations, 10 teachers were classified as either student centered or mainly…

Educational interventions that are currently in vogue in higher education settings are based upon constructivist approaches, whereby students learn content within the context of authentic activities and problem-based scenarios. Certainly these approaches have value, but proponents of these approaches have been somewhat successful in convincing…

Discussion of ICAE (Intelligent Computer Aided Education) systems focuses on Magix, a prototype ICAE system for use in problem-based learning in linear mathematics for 10- to 12-year olds. The system integrates the principles of constructivism, user-driven interaction, knowledge-based systems, and metacognition. (Author/LRW)

Discusses the limitations in the explain-practice and active learning methods of teaching mathematics. Proposes that problem-centered learning is a teaching method that encourages student reflection, and presents examples demonstrating that encouraging reflection results in greater mathematics achievement. (MDH)

Provides an example of the integration of science and mathematics learning of one high school physics student in a constructivist classroom. Discusses the student's integration of mathematical and nonmathematical representations and of different mathematical representations in a nonuniform acceleration experiment. Describes a model for integrating…

Contemporary constructivist views of mathematical learning have encouraged curriculum developers to devise instructional materials that help students build their own understanding and procedures for doing rational number computations, solving proportions, and applying those skills to real and whimsical problems. The Connected Mathematics Project…