Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…

The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…

Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia?

This article revisits the cognitive load theory to explore the use of worked examples to teach a selected topic in a higher level undergraduate physics course for distance learners at the School of Distance Education, Universiti Sains Malaysia. With a break of several years from receiving formal education and having only minimum science…

The purpose of this article was to develop an elementary school robot STEAM program and explore the possibility of field applications. To this end, the authors extracted the contents related to school achievement standards for 5th and 6th grade curricula around the topic of robot soccer, incorporating a relevant curriculum based on the extracted…

During the semester break, 36 second-grade students accessed a set of resources and completed a series of online math activities focused on the application of the model method for arithmetic in two contexts 1) addition/subtraction and 2) multiplication/division. The learning environment first modeled and then supported the use of a scripted series…

The distinction between procedural and conceptual learning has long been a topic of discussion in mathematics education and the idea of compression into thinkable concepts that enable the individual make links between them (Tall, 2007). In addition to, the compression to thinkable concept was to be thinking mechanism arising naturally and…

Find out how to use photographic images to support the conceptual development of proportional thinking. This paper provides insight into a sequenced activity that promotes student engagement and makes links to familiar and unfamiliar contexts.

This article promotes the use of mathematically appropriate, engaging and challenging tasks to support learning that is worthwhile. The authors share insights from a three-lesson design experiment and the three tasks along with the results from their implementation are explored.

Dynamic geometry software (DGS) is often used for development of interactive teaching materials in many subjects, not only mathematics. These interactive materials can contain hundreds of elements in order to represent complex objects, and script programs to control their behavior. We propose an approach for creating, importing and using…

This article draws its data from a collaborative intervention project "Expanding Textual Repertoires," which sought to help English teachers develop their students' higher-order work with language and texts in Singapore secondary schools. The focus is on the strategy of weaving, a form of connection-making which involves the deliberate…

Using a constructionist framework in music, specifically through an emphasis on composition, is revolutionizing the field of music and education by bridging the gap between the novice and professional. Much of the research has been spearheaded by Jeanne Bamberger and others, who noted the computer's potential to highlight what it means to be a…

Examines backward chaining, a method of producing demonstration films in which sequential steps in a procedure are taught backwards; that is, the last step is taught first, then the next to the last step, and so on. A film designed to teach procedures used in a science experiment is used as an example. (JJD)

Discussed is a report of a British government advisory group concerning programs of study in mathematics education, as related to students with special education needs. Described are the progression of levels, the spread of levels normal for particular age groups, and the notion of age determining the work of students. (JDD)

This paper describes the Reading Recovery program implemented at a special needs school in Kiel, Germany. The program is intended to offer primary-grade pupils a second chance to obtain reading and writing skills. The highly structured reading program involves isolation of difficulties, work on word structure, learning consonant-vowel combinations…