For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…

For learners, it can be difficult to imagine how to perform a complex skill based on textual information from solely a text-based analytic rubric. Rubrics lack (1) the contextual information needed to convey real-world attributes (2) the dynamic information (such as gesturing in the complex skill of presenting) (3) the procedural information…

This journal article discusses Advanced Mathematical Thinking (AMT) and how to enhance it. AMT is ability in representing, abstracting, creative thinking, and mathematical proving. The importance of AMT ability development in accord with government expectation who realize about the importance of mathematical competency mastery for student's life.…

Learning theory provides a powerful framework for analyzing instructional consultations and increasing their effectiveness. In this paper, the authors review the main tenets of learning theory, apply them to consultation scenarios, and present a complex case study to show how they can guide analysis and problem solving around challenging…

More and more things that humans used to do can be automated on computer. In each case, complex tasks have been automated -- not to the extent that they can be done as well as humans, but better. I will draw and develop parallels to education -- showing how and why advances in the Structural Learning Theory (SLT) and the AuthorIT development and…

A sense of mastery is an important component of psychological health and wellbeing across the life-span; however, relatively little is known about the development of mastery during childhood and adolescence. Utilizing prospective, longitudinal data from 444 adolescent sibling pairs and their parents, our conceptual model proposes that family…

Research in goal theory has often relied on the general linear model, ignoring some central assumptions of the theoretical framework under investigation. The purpose of the two studies reported here was to illustrate how the Rasch model can supplement traditional statistical analyses when evaluating the effects of goal orientations on persistence.…

This paper introduces a modification to the Rule Space diagnostic classification procedure to allow for processing of response vectors that contain missing data. Rule Space is an approach to diagnostic classification that involves characterizing examinees' performances in terms of an underlying cognitive model of generalized problem-solving…

A general analysis of the learning process precedes the discussion of a teaching model designed to provide effective control of the process of attaining knowledge. Features of the model discussed include preliminary knowledge, motivation, presentation and activities, feedback, and planning the assimilation process of a complete subject. A 21-item…

Students must be able to interpret, relate, and incorporate new information with existing knowledge and apply the new information to solve novel problems. Peer instruction is a cooperative learning technique that promotes critical thinking, problem solving, and decision-making skills. Therefore, we tested the hypothesis that peer instruction…

It is argued that mastery learning is one explanation for the documented differences in mathematics achievement between Japanese and American students. Given its emphasis on mastery at one stage before moving on to the next stage, and the potential accumulated benefits of this approach over time, mastery learning appears to be very similar to what…

Two Computers Unlimited elementary magnet schools have completed their first year of operation as part of the Long-Range Magnet School Plan in the Kansas City School District. The curriculum for the Computers Unlimited theme emphasizes basic skills, problem solving, and critical thinking skills. This formative evaluation report addresses the…