Background: In example-based learning, examples are often combined with generative activities, such as comparative self-explanations of example cases. Comparisons induce heavy demands on working memory, especially in complex domains. Hence, only stronger learners may benefit from comparative self-explanations. While static text-based examples can…

Based on the largest multi-institutional observational study of undergraduate courses in the United States, this article describes exemplar teaching practices in engineering courses as an interdisciplinary science field. The College Educational Quality (CEQ) research project studied 587 courses in nine different U.S. colleges and universities.…

Two generative approaches to reaction mechanism instruction for novice students were compared to lecture instruction. In both approaches, students were coached to propose selected reaction mechanisms based on prior knowledge. New instructional methods were correlated with increased skill in representations of electron movements and other gains.…

At a research university near the east coast, a college algebra class has been restructured into two large lectures a week, an active recitation size laboratory once a week, and an extra day devoted to active group work called Supplemental Practice (SP). SP was added as an extra day of class where the SP leader has students work in groups on a…

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…

This qualitative multi-case research study explored the experiences of pre-service teachers learning phonics and phonemic awareness (PPA) in a literacy methods course. Data were collected from pre- and post-test scores, literacy life maps, semi-structured interviews, and course questionnaires. Findings suggest pre-service teachers with limited…

This study reports how 12 secondary mathematics preservice teachers (MPSTs) described characteristics of mathematical tasks after participating in instructional activities, including reading, reflecting, and discussing task characteristics from two mathematics task frameworks and related book chapters. The findings demonstrated that after engaging…

We explored primary pre-service teachers' beliefs about challenging mathematical tasks and the role they perceived their initial teacher education played in influencing those aspects. Fifty-seven pre-service teachers completed an online questionnaire, and four participants were individually interviewed. Results showed that most participants…

Students come into the classroom with a variety of background knowledge. Therefore, it is imperative that educators are able to help all students, regardless of their familiarity with the content. Since it can be challenging for some large enrollment classes to schedule recitation classes after lectures due to logistical constraints, this study…

Although trigonometry is an important section in secondary school mathematics curricula, many teachers find it challenging to teach as a result of insufficient pedagogical content knowledge (PCK). Therefore, the aim of this article was to report on how PCK on trigonometry manifests itself in teachers' practice. This exploratory case study was…

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…

The segmenting effect states that people learn better when multimedia instructions are presented in (meaningful and coherent) learner-paced segments, rather than as continuous units. This meta-analysis contains 56 investigations including 88 pairwise comparisons and reveals a significant segmenting effect with small to medium effects for retention…

The study investigates mathematics lesson plans that teachers produced for re-teaching purposes. Its goal is to determine which aspects of mathematics-content knowledge are expressed in lesson plans on the topic of fractions prepared by primary math teachers and intended for underachieving students, and to see how these aspects are manifested. The…

This research suggests emphasis manipulation on constituent skills of least-abled sets, improves coordination and integration of knowledge, skills, and attitudes on cognitive load, transfer, and instructional efficiency. The participants were divided into two groups. Competency levels for the designated skill sets were evaluated, and a pre-test…

Several studies related to mathematical proof have been done by many researchers on high-level materials, but not yet examined on the material of transformation geometry. The aim of this research is identification learning obstacles pre-service teachers on transformation geometry. This study is qualitative research; data were collected from…