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1.
Central to equation solving is the maintenance of equivalence on both sides of the equation. However, when the process involves an interaction of multiple elements, solving an equation can impose a high cognitive load. The balance method requires operations on both sides of the equation, whereas the inverse method involves operations on one side only. In an experiment, middle school students (N?=?71) were randomly assigned to the balance and inverse methods to complete a pre-test, an acquisition phase and a post-test. Pre-test and post-test comparisons found that the inverse group outperformed the balance group for those equations that involved high element interactivity. Instructional efficiency measures further confirmed that the balance method imposed higher cognitive load. The inverse method was capable of reducing cognitive load due to the interacting elements. 相似文献
2.
We recently developed the Framework of Achievement Bests to explain the importance of effective functioning, personal growth, and enrichment of well-being experiences. This framework postulates a concept known as optimal achievement best, which stipulates the idea that individuals may, in general, strive to achieve personal outcomes, reflecting their maximum capabilities. Realistic achievement best, in contrast, indicates personal functioning that may show moderate capability without any aspiration, motivation, and/or effort expenditure. Furthermore, our conceptualization indicates the process of optimization, which involves the optimization of achievement of optimal best from realistic best.In this article, we explore the Framework of Achievement Bests by situating it within the context of student motivation. In our discussion of this theoretical orientation, we explore in detail the impact of instructional designs for effective mathematics learning as an optimizer of optimal achievement best. Our focus of examination of instructional designs is based, to a large extent, on cognitive load paradigm, theorized by Sweller and his colleagues. We contend that, in this case, cognitive load imposition plays a central role in the structure of instructional designs for effective learning, which could in turn influence individuals’ achievements of optimal best. This article, conceptual in nature, explores varying efficiencies of different instructional approaches, taking into consideration the potency of cognitive load imposition. Focusing on mathematical problem solving, we discuss the potentials for instructional approaches to influence individuals’ striving of optimal best from realistic best. 相似文献
3.
We examined the use of balance and inverse methods in equation solving. The main difference between the balance and inverse methods lies in the operational line (e.g. +2 on both sides vs ?2 becomes +2). Differential element interactivity favours the inverse method because the interaction between elements occurs on both sides of the equation for the balance method but only on one side of the equation for the inverse method. In an experimental study, 63 students (mean age = 13) were randomly allocated to either balance or inverse group to undertake a pre-test, study an instruction sheet, complete acquisition equations, sit for a post-test and a concept test. Procedural knowledge was assessed on performance on practice equations and post-test, whereas conceptual knowledge was assessed on performance on the concept test. The inverse group outperformed the balance group on practice equations but not the post-test. Both the balance and inverse groups scored higher on the inverse concept test than the balance concept test. Positive association between performance on procedural knowledge and performance on conceptual knowledge was found for the inverse group but not the balance group. Overall, the evidence obtained indicates a number of educational implications for implementation. 相似文献
4.
Within the cognitive load theory framework, we designed and compared three alternative instructional solution formats that
can be derived from a common static hierarchical network representation depicting problem structure. The interactive-solution
format permitted students to search in self-controlled manner for solution steps, static-solution format displayed all solutions
steps, and no-solution format did not have solution steps. When we matched instructional time across the formats, in relation
to the complex molarity problems rather than the dilution problems, differential transfer performance existed between the
static-solution or no-solution formats and the interactive-solution format, but not between the static-solution format and
no-solution format. The manner in which learners interact with the static-solution and no-solution formats depends on their
level of expertise in the chemistry domain. With considerable learner expertise, provision of solution steps may be redundant
incurring extraneous cognitive load. Absence of the solution steps may not have left sufficient cognitive capacity for germane
cognitive load as some beginning learners lacked the prior knowledge to deduce the solution steps. Searching for solution
steps presumably incurred extraneous cognitive load which interfered with learning and hence, in the interactive-solution
format, it outweighed the benefit of engaging in self-regulated interaction with the content. Hence, cognitive load theory
is a promising tool to predict the mental load associated with learning from the three alternative computer-based instructional
formats. 相似文献
5.
Holyoak and Koh (1987) and Holyoak (1984) propose four critical tasks for analogical transfer to occur in problem solving. A study was conducted to test this hypothesis by comparing a multiple components (MC) approach against worked examples (WE) in helping students to solve algebra word problems in chemistry classes. The MC approach incorporated multiple components (symbolic equations, symbols, categorization, hint) in the source, or target, or both, to address the four analogical tasks. Different combinations of the components were tested in a series of four experiments. Symbolic equations (main component) fostered a mental construction of the problem in its solution mode. Categorization enabled an identification of the problem category. A hint in the target directed the learners to the source problem. The interaction between these components facilitated the mapping of the symbolic equations in the source onto the target, resulting in the superiority of the MC approach in fostering analogical transfer. Neither the main component alone nor the main component plus one sub-component was sufficient for analogical transfer. Hence for analogical transfer to occur, at least the main component (symbolic equations) and two sub-components (categorization and hint) are required. However, symbols may not have additional effects for transfer to occur. 相似文献
6.
The study of social cognitive theory has involved a number of inquiries, notably one of which concerns the formation and development of self-efficacy beliefs. Social cognitive theory indicates that we form our self-efficacy beliefs from four major sources of information: enactive performance accomplishments, vicarious experiences, verbal persuasion and emotional and physiological states. We advance this tenet by exploring across four occasions, and the four sources of information in the context of elementary school learning. Two cohorts of participants, at level 2 (N?=?352 3rd–4th grade students) and level 3 (N?=?264 5th–6th grade students), answered a Likert’s-scale inventory that we developed and used in a previous study. We proposed and tested a number of a priori models using LISREL 8.80. Furthermore, factorial invariance analyses of the inventory were performed, a posteriori, to determine the stability/instability of the four sources of information. 相似文献
7.
Bing Hiong Ngu Alexander Seeshing Yeung Huy P. Phan Kian Sam Hong Hasbee Usop 《Journal of Experimental Education》2018,86(3):362-385
In an experiment, secondary students from Australia and Malaysia (n = 130) were randomly assigned to one of three approaches (equation, unitary, unitary-pictorial) to learn how to solve challenging percentage-change problems. In line with the differential types of cognitive load associated with the three approaches, the unitary-approach group outperformed both the unitary group and the equation group across Australia and Malaysia. In support of cross-cultural findings, the Malaysian students outperformed the Australian students for the equation approach but not the unitary approach nor the unitary-pictorial approach. The Australian students, in contrast, learned better with the unitary-pictorial approach. This study, overall, reveals the “gap” between the Asian and Western countries in the use of problem-solving approaches across different cultural settings. 相似文献
8.
Ngu Ik-Tien 《Inter-Asia Cultural Studies》2017,18(3):433-444
This paper studies how ethnicity has influenced the construction of nationalism in two political movements that took place in Sarawak, a former British colony in North Borneo. It analyzes the discourse of colonialism, freedom and independence that revolved around two movements, namely the anti-cession movement and the underground communist movement, controlled respectively by the ethnic Malay and Chinese in Sarawak. A comparison of these two movements is made by looking at the fundamental differences between two movements and the way the British responded to them. In the analysis, local political developments as well as transnational links are taken into consideration as this paper assumes that transnational exposure was instrumental in shaping local nationalism. In doing so, the paper intends to explain the domination of ethnic nationalism in political discourse and institutions of Sarawak. 相似文献
9.
In social sciences, the use of stringent methodological approaches is gaining increasing emphasis. Researchers have recognized the limitations of cross-sectional, non-manipulative data in the study of causality. True experimental designs, in contrast, are preferred as they represent rigorous standards for achieving causal flows between variables. The Solomon four-group design, for example, is ideal for its positioning to account for, and factor out, confounded influences of predictors on outcomes. However, in daily life settings, it is often difficult to emulate true experimental conditions. Identified limitations include financial resources, logistic difficulties, time constraint, and small sample sizes in social science research settings. There are, of course, other experimental designs that are noteworthy for consideration. Time series and single-case designs, quasi in nature, are effective alternatives for educators and researchers to consider in their research foci. This article examines the different experimental designs that may be implemented in naturalistic classroom settings. In particular, one important inquiry of our theoretical discussion pertains closely to the conceptualization of two innovative designs that we have made, consequently as a result of our research development and examination of the literature: a sequential, multiple time series multi-group design and a multi time series, multi-group single-case design. These experimental designs are innovative and enable comparisons for within and between differences under different experimental conditions. 相似文献
10.
In two experiments, differential performance onchemistry problems was obtained for twotraining strategies: text editing andconventional problem solving. Text editingrequires students to scan the text of problemstatements and specify whether it providessufficient, missing or irrelevant informationfor solution. It was hypothesized that textediting, which emphasizes gaining familiaritywith schematic knowledge, would lead to higherachievement than conventional problem solving.Experiment one indicated that text editing wassuperior to conventional problem solving inlearning to solve molarity and dilutionproblems. In particular, students who weretrained in text editing skipped someintermediate steps while solving molarityproblems. In contrast, using stoichiometryproblems, experiment two showed that students whowere trained in text editing performed worsethan students given conventional problems tosolve. An error analysis suggested that becauseof its failure to direct students' attention tothe coherent problem structure in the firstinstance, text editing has no advantage overconventional problem solving in the domain ofstoichiometry problems. It was concluded thatthe suitability of a text editing trainingstrategy depends on the learning materials. 相似文献