Cognitive load in percentage change problems: unitary,pictorial, and equation approaches to instruction

Eighth grade students in Australia (N = 60) participated in an experiment on learning how to solve percentage change problems in a regular classroom in three conditions: unitary, pictorial, and equation approaches. The procedure involved a pre-test, an acquisition phase, and a post-test. The main goal was to test the relative merits of the three approaches from a cognitive load perspective. Experimental results indicated superior performance of the equation approach over the unitary or pictorial approach especially for the complex tasks. The unitary approach required students not only to process the interaction between numerous elements within and across solution steps, but also to search for critical information, thus imposing high cognitive load. The pictorial approach did not provide a consistent approach to tackling various percentage change problems. Coupled with the need to coordinate multiple elements within and across solution steps, and the need to search for relevant information in the diagram, this approach imposed high cognitive load. By treating the prior knowledge of percentage quantity as a single unit, the equation approach required students to process two elements only. Empirical evidence and theoretical support favor the equation approach as an instructional method for learning how to solve percentage change problems for eighth graders.     

Contextualised self-beliefs in totality: an integrated framework from a longitudinal perspective

The present longitudinal research investigation explored the differential effects of contextualised self-efficacy beliefs (i.e. task, course, global) on the concepts of personal resolve and effective functioning, and two adaptive outcomes, namely: school experience and academic achievement. 291 (141 girls, 150 boys) Year 7 secondary school students participated in the study, which spanned the course of four time points. Subsequent SEM analyses produced the following results, for example: (i) Time 1 task self-efficacy positively influenced Time 2 personal resolve and Time 2 effective functioning, (ii) Time 2 personal resolve positively influenced Time 3 contextualised self-efficacy beliefs, (iii) Time 2 effective functioning positively influenced Time 4 school experience, and Time 4 academic achievement, and (iv) Time 3 task-specific self-efficacy positively influenced Time 4 academic achievement and Time 4 school experience. This evidence, collectively, provides grounding for further research development (e.g. the importance of effective functioning) and educational practices for implementation.     

Validating ‘optimizing’ concepts: the importance of personal resolve,effective functioning,and academic striving

Abstract

Capitalising on current research progress, we explored via means of structural equation modelling (SEM), the operational nature of three newly developed optimising concepts: personal resolve, effective functioning, and academic striving. We conceptualised self-efficacy as a source of origin, and effort expenditure and motivation towards learning as adaptive outcomes of the three mentioned concepts. Correlational responses from Taiwanese university students (N?=?1010) affirmed our hypothesis regarding the operational nature of personal resolve, effective functioning, and academic striving – for example – (i) self-efficacy as a source of origin of personal resolve, effective functioning, and academic striving, and (ii) the effects of personal resolve and academic striving on effort, and the effects of effective functioning and academic striving on motivation towards learning. This significant evidence, overall, contributes to the study of optimal achievement best.     

Optimization: an attempt to establish empirical evidence for theoretical and practical purposes

European Journal of Psychology of Education - Optimal best practice is a central feat of human agency. It emphasizes a state of flourishing and reflects, in this case, the paradigm of positive...     

Managing Element Interactivity in Equation Solving

Between two popular teaching methods (i.e., balance method vs. inverse method) for equation solving, the main difference occurs at the operational line (e.g., +2 on both sides vs. ?2 becomes +2), whereby it alters the state of the equation and yet maintains its equality. Element interactivity occurs on both sides of the equation in the balance method, but only on one side in the case of the inverse method. Thus, the balance method imposes twice as many interacting elements as the inverse method for each operational line. In two experiments, secondary students were randomly assigned to either the balance method or the inverse method to learn how to solve one-step, two-step, and three-or-more-step linear equations. Test results indicated that the interaction between method and type of equation favored the inverse method for equations involving higher element interactivity. Hence, by managing element interactivity, the efficiency of instruction for equation solving can be improved.