One way to reduce the cognitive load students feel during instruction is to change the way content is delivered. This can be achieved by optimising the instructional sequence and providing sufficient instructional support during problem-solving. However, the literature is unclear regarding whether an inductive or a deductive instructional sequence…

We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…

An introductory physics course may be run like a video game, where students have an almost unlimited number of attempts to demonstrate their competencies through a sequence of zero-penalty assessments until the end of a semester. Each checkpoint is conducted as a 10-minute, one-on-one oral interview with the instructor, and students are not…

In the current conceptualisations of Problem Based Learning and how we practice it, the students are expected to possess the necessary academic competencies in order to study through PBL. However, a desk research reveals that students in many cases don't have the necessary understanding or conceptual comprehension of disciplines such as problem…

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…

A key motivational tactic in undergraduate mathematics teaching is to launch topics with fundamental questions that originate from surprising or remarkable phenomena. Nonetheless, constructing a sequence of tasks that promotes students' own routes to resolving such questions is challenging. This note aims to address this challenge in two ways.…

This study aims to examine the changes in students' mental constructions of function transformation based on the designed activities, classroom discussions, exercises (ACE) teaching cycle in the light of the action, process, object, schema (APOS) theoretical framework. The study was conducted by seven volunteer students who were enrolled in…

Paragonimiasis is an illness that involves both humans and animals. It is caused by parasites from the genus "Paragonimus" (Trematoda: Troglotrematidae). The illness is endemic to tropical and subtropical countries in Asia, Africa, and America, with different species being responsible in different areas. In Colombia, members of the…

With the onset of online education via technology-enhanced learning platforms, large amount of educational data is being generated in the form of logs, clickstreams, performance, etc. These Virtual Learning Environments provide an opportunity to the researchers for the application of educational data mining and learning analytics, for mining the…

This study investigates the effectiveness of particular teaching styles, inductive method and deductive method, in stimulating significant improvement on the reading comprehension skills of the third-year college education students in Cebu Technological University-Danao with specific learning style preferences, sequential learners and global…

A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…

Many mathematics departments have instituted transition-to-proof courses for second semester sophomores to help them learn how to construct proofs and to prepare them for proof-based courses, such as abstract algebra and real analysis. We have developed a way of getting students, who often stare at a blank piece of paper not knowing what to do, to…

In 1979, Gavin Bolton posed a question that is still fundamental to the development of process drama: "Is it possible to steer a course that does not come down in support of any particular point of view but causes children to examine and re-examine their own views and values?" Inspired by Bakhtinian theory, Brian Edmiston developed a…

Students learn and process information in many different ways. Learning styles are useful as they allow instructors to learn more about students, as well as aid in the development and application of useful teaching approaches and techniques. At the undergraduate level there is a noticeable lack of research on learning style preferences of students…

A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…