Background: Creativity is one of the key competencies for the talent of the 21st century to meet future challenges in a complex world. It is also an innovative basis for students to discover and pose questions. Purpose: This study aimed to explore which two interventions of the problem-oriented teaching model, teacher-guided problem finding (TGPF)…

Teaching and learning mathematics in an elementary classroom is a complex process in negotiating a balance in encouraging participation, responding to students, making connections between interactions, and planning for upcoming interactions. In a search for instructional models and structures that support and encourage student engagement in…

This study aims to analyze the correlation of the student's progress in solving a given problem with the logic of the teacher in the layout of the questions asked. The research was conducted in the government's secondary schools and colleges in the district of Abidjan and involved 453 participants, including 423 student and 30 teachers. The data…

We share ideas for preparing for and enacting high-cognitive demand tasks in ways that support students in articulating and justifying their ideas. We offer strategies for developing and posing several types of purposeful questions: (1) eliciting thinking, (2) generating ideas, (3) clarifying explanations, and (4) justifying claims.

While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…

The aim of the research was to explore the levels of cognitive loading induced by certain tenets of constructivist pedagogy namely self-directed learning complex questions and zone of proximal development. The study also sought to investigate the associations between these constructs and with cognitive loading and complex questions. Data for the…

A central issue in the design of curricula for all school levels is the development of the learners' high-order thinking skills and metacognitive skills. Among such required skills is the ability to solve problems. The literature dealing with the development of problem-solving skills is vast and primarily addresses the scientific disciplines, even…

This article reports on an investigation with first year undergraduate Product Design and Management students within a School of Engineering and Applied Science. The students at the time of this investigation had studied fundamental engineering science and mathematics for one semester. The students were given an open ended, ill-formed problem…

Little is known about students' emotions in the field of Mathematics Education that go beyond students' emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group…

This article outlines some key issues for writing effective computer-aided assessment (CAA) questions in subjects with substantial mathematical or statistical content, especially the importance of control of random parameters and the encoding of wrong methods of solution (mal-rules) commonly used by students. The pros and cons of using CAA and…

Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students". The methods and examples included in…

This paper focuses on the mechanics and dynamics of questioning techniques as aids to trainers/teachers in "getting across" subject matter and interacting effectively with learners. The mechanics include three levels of questions--knowledge, application and problem-solving. Each of these levels is designed to foster different and…

Preschoolers presented with a difficult match-to-sample task requiring task analysis performed successfully when taught to overtly ask themselves questions about the salient features of each display and then answer the questions. Most subjects performed poorly when told not to use the self-questions and answers, but performed well again when…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…