The fading of instructional scripts can be regarded as necessary for allowing learners to take over control of their cognitive activities during the acquisition of skills such as argumentation. There is, however, the danger that learners might relapse into novice strategies after script prompts are faded. One possible solution could be monitoring…

It is increasingly being recognised that a significant number of able students who embark on a mathematics degree become disenchanted and move away from mathematics after graduating. This paper reports on the experiences of four such learners, exploring their mathematical trajectories against ideas in current literature. Through a consideration of…

Children are naturally curious and want to make sense of their world. To implement mathematical tasks that nurture children's desire to reason, it is valuable for teachers to have experienced for themselves comparable tasks and learning environments (Ball and Bass 2000). In this article, the author describes three strategies to facilitate…

A mnemonic device, the energy pie, is presented that provides relationships between thermodynamic potentials ("U," "H," "G," and "A") and other sets of variables that carry energy units, "TS" and "PV." Methods are also presented in which the differential expressions for the potentials and the corresponding Maxwell relations follow from the energy…

This essay first summarizes an overarching theory of cognitive organization and development. This theory claims that the human mind involves (1) several specialized structural systems dealing with different domains of relations in the environment, (2) a central representational capacity system, (3) general inferential processes, and (4)…

Minimal research to date has evaluated the impact of Survey-Question-Read-Recite-Review (SQ3R) implementation (i.e., surveying prior to reading, generating questions, reading to answer said questions, reciting, and reviewing information) on content retention and student performance. Existing research is anecdotal or lacks ecological validity. The…

There are many reasons to be curious about the way people learn, and the past several decades have seen an explosion of research that has important implications for individual learning, schooling, workforce training, and policy. In 2000, "How People Learn: Brain, Mind, Experience, and School: Expanded Edition" was published and its…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

This 2017 annotated bibliography reviews seven postsecondary peer cooperative learning programs that have been implemented nationally to increase student achievement. An extensive literature search was conducted of published journal articles, newspaper accounts, book chapters, books, ERIC documents, thesis and dissertations, online documents, and…

One of the questions facing language instructors is how direct vocabulary instruction should be. Much recent research into vocabulary acquisition and studies of learning strategies strongly indicates that the explicit vocabulary learning vs. implicit vocabulary learning issue is not a dichotomy, but rather a continuum (Hunt and Belgar, 2005; Lee…

This paper reports findings of a pilot study examining the feasibility of a research design to investigate how achievement goals relate to the construct of math anxiety. In addition, we also consider how other important achievement-related behaviors, like self-efficacy, help-seeking, and self-regulation, might also relate to students' math…

This study is set in the context of a Post Graduate course for Teacher Education where the participants were exposed to a systematic reflective learning strategy facilitated by a structured interactive e-learning platform. The e-platform was used for students to share, reflect and they had demonstration of skills in class. The researcher intended…

We investigated two factors that predict students' achievement and behaviour in undergraduate mathematics: gender and personality. We found that gender predicted students' achievement and behaviour when considered in isolation, but ceased to be predictive when personality profiles were taken into account. Furthermore, personality accounted for…

The present study aimed at understanding the language learning strategy use of Iranian EFL learners' about learning a foreign language. The main purpose of the study was to understand if there was any relationship between proficiency level, gender and extra education in language institutes and strategy use. To achieve this end, 369 engineering…