Effects Of Worked Examples Research Articles

The Worked-Example Effect and a Mastery Approach Goal Orientation

This study aimed to explore the impact of a mastery approach goal orientation (MAGO) on learning from worked examples. In this experiment (N = 98, mean age = 13.9 years), learners had their MAGO measured, and received instruction in mathematics, either through a worked-example or a problem-solving strategy. The study demonstrated that the worked-examples approach resulted in enhanced retention (but not transfer) and decreased cognitive load when compared to the problem-solving approach. However, there was a significant interaction between instructional strategy and the MAGO, indicating that only learners with a high MAGO benefited from worked examples. Learners with higher MAGO levels also experienced less cognitive load than learners with a lower MAGO. These results indicate a moderating role of MGO in enhancing the effectiveness of worked examples. This study also found that prior knowledge was the only factor influencing transfer performance, highlighting the importance of studying its impact.

Improving 5th Grade Mathematics Knowledge with Worked Examples and Self-Explanation Prompts

Prior short-term studies have shown the effectiveness of worked examples and self-explanation prompts in improving elementary students’ mathematics knowledge. However, year-long classroom-based interventions have been tested only with older students. The purpose of the current study was to explore the effectiveness of a year-long classroom intervention, MathByExample, which paired worked examples and self-explanation prompts with practice problems. We utilized a classroom-based experimental design where 5th-grade classrooms were randomly assigned to one of two conditions. Findings illustrate that intervention dosage impacts the effectiveness of the intervention in improving 5th graders’ grade-level mathematics knowledge. In addition, prior knowledge impacted the effectiveness of the intervention for two of the four outcome variables. This study expands the literature on the use of worked examples and self-explanation prompts in several ways. It provides evidence that this tool has the potential to improve elementary students’ learning. It included four different measures of math knowledge, which provides stronger support for the effectiveness of the intervention. Finally, it adds to the literature that shows the benefits of studying and explaining both correct and incorrect worked examples.

Learning Mathematics Formulas by Listening and Reading Worked Examples

This study aims to examine whether there is a significant difference between the effectiveness of worked examples with voice notes and worked examples without voice notes and their relations with computational thinking skills. Both learning strategies were implemented in the derivative of polynomial algebraic function learning. This quasi-experimental study involved 62 students and employed a pre-test and post-test non-equivalent control group design via WhatsApp group. Data were analyzed using ANCOVA with student initial ability measured during the pretest as the covariate. The study empirically proved that there is a significant difference in terms of the effectiveness of both learning strategies viewed from student cognitive load. Worked example without voice notes was more effective and makes students have less cognitive load during learning. In addition, there was no significant difference in the effectiveness of learning strategies in terms of computational thinking skills. This study showed that adding voice notes may lead to redundancy effects, hence the use voice notes with worked examples should be thoroughly considerated.

The effects of example-free instruction and worked examples on problem-solving

The use of worked examples has been shown to be an effective instructional method for reducing cognitive load and successfully engaging in problem-solving. Extant research often views worked examples as an integrated part of direct instruction. Studies have examined the problem-solving effects of worked examples used in tandem with instructional explanations. However, a gap exists in research focusing on the individual problem-solving effects of example-free instructional explanations and worked examples containing no instructional explanation. This study uses a method in which worked examples are separated from direct instruction to examine the problem-solving effects of individual parts of such instruction, namely example-free instruction and worked examples containing no instructional explanation. Considering the importance of critical thinking skills in the current educational environment, the current study was conducted on a group of university students (n = 32) studying critical thinking in South Korea. Results showed that example-free instruction was more effective for problem-solving than worked examples containing no instructional explanation. Additionally, participants reported more efficient cognitive processing ability when critical thinking problems were presented through instructional explanation rather than worked examples. These results allow for a granular look at the different aspects of direct instruction and their effects on cognitive load and problem-solving.

Learning to avoid biased reasoning: effects of interleaved practice and worked examples

ABSTRACT It is yet unclear which teaching methods are most effective for improving critical thinking (CT) skills and especially for the ability to avoid biased reasoning. Two experiments (laboratory: N = 85; classroom: N = 117), investigated the effect of practice schedule (interleaved/blocked) on students’ learning and transfer of unbiased reasoning, and whether it interacts with practice-task format (worked-examples/problems). After receiving CT-instructions, participants practiced in: (1) a blocked schedule with worked examples, (2) an interleaved schedule with worked examples, (3) a blocked schedule with problems, or (4) an interleaved schedule with problems. In both experiments, learning outcomes improved after instruction/practice. Surprisingly, there were no indications that interleaved practice led to better learning/transfer than blocked practice, irrespective of task format. The practice-task format did matter for novices’ learning: worked examples were more effective than low-assistance practice problems, which demonstrates –for the first time – that the worked-example effect also applies to novices’ learning to avoid biased reasoning.

Effects of worked examples on step performance in solving complex problems

The instructional effect of worked examples has been investigated in many research studies. However, most of them evaluated the overall performance of the participants in solving post-intervention problems, rather than individual step performance in multi-step problems. The two experiments reported in this article investigated the relations between using worked examples and individual step performance in solving isomorphic problems. In Experiment 1, the effect of worked examples was found for overall performance for novice learners, whereas this effect was gradually reduced from Step 1 (the most difficult one) at which the effect was the strongest, to Step 3 (the easiest one) at which the effect was the weakest or even disappeared. In Experiment 2, relatively more knowledgeable participants learned the same sets of materials, and no effect of worked examples was found for either overall performance or individual step performance. Learner levels of expertise and levels of element interactivity were used to explain the results.

Learning Scientific Explanations by Means of Worked Examples – Promoting Psychology Students’ Explanation Competence

The aim of this study is to investigate whether worked examples are effective in fostering psychology students’ explanation competence. Explanation competence is a context-specific cognitive disposition that enables a person to construct a causal model of an observable psychological phenomenon by drawing on psychological theories. We set up a training intervention using worked examples to demonstrate how the observed psychological phenomenon (e.g., cognitive dissonance) is represented in an explanation. Instructional support was implemented using a fading procedure. We investigated the effects of worked examples on explanation competence using a sample of psychology students ( n = 46) from a German university. In an experimental between-group pre- and post-tests design, the participants in the experimental condition received the training intervention, whereas the participants in a control condition did not receive the intervention. The experimental and control groups did not differ in their explanation competence before the training intervention. Participants in the experimental condition had a significant higher explanation competence after the training intervention than the participants in the control condition. Thus, our results indicate that worked examples effectively foster psychology students’ explanation competence. Considerations on how the results could be implemented in actual teaching settings are provided.

Um editor inteligente para auxiliar estudantes na tradução de problemas algébricos

One of the most important skills to be developed in algebra learning is word problem solving. The word problem presents a situation or a story, where students need to understand the elements that make up the situation to generate a mathematical model to represent it, i.e. one or more equations. In this paper, we propose an editor to help students in the translation phase of problem solving, from the identification of the parts of the problem to the definition of relations and equations. The editor also provides feedback to the students about each step provided by them, indicating whether it is correct or incorrect. The editor follows the cognitive load theory, based on the following effects e.g. the splitattention effect and the worked-example effect. An evaluation of the editor was carried out with two seventh grade classes, in a total of 59 students, that showed the editor helped in the learning process and that the students found the editor easy and fun to use.

Examining the learning effects of live streaming video game instruction over Twitch

Technology facilitates advances in learning and drives learning paradigms. One recent innovation is Twitch™, an online streaming platform often used for video game tutorials but also enables amateur online instruction (Hamilton, Garretson, & Kerne, 2014)). Twitch represents a unique learning paradigm that is not perfectly represented in previous technologies because of its “ground-up” evolution and the opportunity for novice instructors to educate mass audiences in real-time over the Internet while enabling interaction between teachers and learners and among learners. The purpose of this research is to empirically examine the efficacy of Twitch as a learning platform by manipulating each of the key characteristics of Twitch and to understand the conditions in which novice instructors may be beneficial. Drawing from Cognitive Load Theory, we demonstrate the worked-example effect in the Twitch environment by manipulating teacher-learner-learner interactions, live versus recorded streaming, and expert-versus novice-based instruction. Based on a laboratory experiment involving 350 participants, we found that learning performance under novice instructors was at least as good as that of experts. However, an exploratory analysis of learner personalities revealed that extroverts benefit only when learner-learner interaction is enabled. Surprisingly, those who are highly agreeable and less neurotic benefited more from novice instructors.

Can collaborative learning improve the effectiveness of worked examples in learning mathematics?

Worked examples and collaborative learning have both been shown to facilitate learning. However, the testing of both strategies almost exclusively has been conducted independently of each other. The main aim of the current study was to examine interactions between these 2 strategies. Two experiments (N = 182 and N = 122) were conducted with Grade-7 Indonesian students, comparing learning to solve algebra problems, with higher and lower levels of complexity, collaboratively or individually. Results from both experiments indicated that individual learning was superior to collaborative learning when using worked examples. In contrast, in Experiment 2, when learning from problem solving using problem-solving search, collaboration was more effective than individual learning. However, again in Experiment 2, studying worked examples was overall superior to learning from solving problems, particularly for more complex problems. It can be concluded that while collaboration could be beneficial when learning under problem solving conditions, it may be counterproductive when studying worked examples. (PsycINFO Database Record (c) 2017 APA, all rights reserved)

Learning from worked-examples in mathematics: students relate procedures to principles

This article discusses the relevance of the worked-example effect for mathematics education. This effect refers to the finding that, in initial cognitive skill acquisition, students profit more from studying worked examples as compared to solving problems. One reason for the effectiveness of worked examples is that the students get the opportunity to interrelate principles (e.g., mathematical theorems) with multiple problem cases. A knowledge structure in which principles and multiple problem cases are represented in an interconnected way is a very good pre-condition for transfer. Several potential objections against worked examples from a mathematics education perspective are discussed (e.g., worked examples do not address typical student errors) by referring primarily to our own studies. We also propose further research exploring whether the powerful method of learning from worked-examples can be adapted to and used in other, presently intensively discussed areas of mathematics education (e.g., fostering skills of mathematical modelling). Finally, recommendations for mathematics education are outlined.

When Instructional Guidance is Needed

Studying worked examples providing problem solutions to learners usually leads to better test performance than solving the equivalent problems without guidance, demonstrating the worked-example effect. The generation effect occurs when learners who generate answers without guidance learn better than those who read answers that provide guidance. The contradiction between these results can be hypothesised to be due to differences in the element interactivity of the learning tasks. Primary school students in Year 6 participated in the experiment, which investigated the hypothesis by using geometry materials. A disordinal interaction was obtained between levels of guidance and levels of element interactivity. Higher levels of guidance facilitated learning using high element interactivity information, while lower levels of guidance facilitated learning for low element interactivity information. Cognitive load theory was used to explain these contrasting results. From an educational perspective, it was suggested that when determining levels of guidance, a consideration of element interactivity is essential.

Executive functions as moderators of the worked example effect: When shifting is more important than working memory capacity.

Worked examples have proven to be effective for knowledge acquisition compared with problem solving, particularly when prior knowledge is low (e.g., Kalyuga, 2007). However, in addition to prior knowledge, executive functions and fluid intelligence might be potential moderators of the effectiveness of worked examples. The present study examines the roles of the executive functions of working memory capacity and shifting, as well as the role of fluid intelligence for knowledge acquisition in the presence or absence of worked examples. Seventy-six university students learned to solve statistical problems either with worked examples or through problem solving (the absence of worked examples). Results showed that shifting and fluid intelligence, but not prior knowledge and working memory capacity, moderated the effect of the presence of worked examples on knowledge acquisition. The higher the shifting ability and fluid intelligence were, the lower was the benefit of worked examples compared with problem solving. Learning environments did not differ with respect to cognitive load, and cognitive load was not correlated with working memory capacity, but it was correlated with fluid intelligence. These findings suggest that other important cognitive functions, such as shifting and fluid intelligence, might be more important than prior knowledge or working memory when worked examples are compared with problem solving. Future research can further examine whether the relative contribution of the different functions is likely to depend on the characteristics of the respective tasks—that is, whether a task puts a high or low demand on these cognitive functions. (PsycINFO Database Record (c) 2016 APA, all rights reserved)

Rethinking the Boundaries of Cognitive Load Theory in Complex Learning

In the traditional framework of cognitive load theory, it is assumed that the acquisition of domain-specific knowledge structures (or schemas) is the only instructional goal, and therefore, the theory is applicable to any instructional task. Accordingly, the basic concepts of intrinsic (productive) and extraneous (unproductive) types of cognitive load were defined based on the relevance (or irrelevance) of the corresponding cognitive processes that impose the load to achieving this universal instructional goal, and the instructional methods advocated by this theory are aimed at enhancing the acquisition of domain-specific schemas. The paper suggests considering this goal within the whole variety of possible specific goals of different learner activities that could be involved in complex learning. This would result in narrowing down of boundaries of cognitive load theory and have implications for distinguishing types of cognitive load, sequencing different goals and instructional tasks, considering the role of learner expertise, and other aspects of complex learning. One of the consequences of this reconceptualization is abandoning the rigid explicit instruction versus minimal guidance dichotomy and replacing it with a more flexible approach based on differentiating specific goals of various learner activities in complex learning. In particular, it may allow reconciling seemingly contradictory results from studies of the effectiveness of worked examples in cognitive load theory (supporting the initial fully guided explicit instruction for novice learners) and studies within the frameworks of productive failure and invention learning that have reportedly demonstrated that minimally guided tasks provided prior to explicit instruction might benefit novice learners.

The Example-Problem-Based Learning Model: Applying Cognitive Load Theory

Cognitive Load Theory (CLT) suggests that learning best takes place in a situation that is equivalent to individual cognitive design. Thus, this article proposes a learning model called Example-Problem-Based Learning (EPBL) which is a combination of two learning strategies: worked-examples and problem-solving. This teaching method guides students to go through several cognitive developments. At the early stages of knowledge acquisition, novice students benefit more from worked-examples, which is a model of problem-solving. After they have gained sufficient knowledge, worked-examples may no longer be appropriate because the positive effects of worked-examples will be lost. Therefore, learning through problem-solving should be applied since students have already equipped themselves with profound domain knowledge. Established in an experiment conducted, the EPBL teaching method enhances students’ knowledge acquisitions, learning transfer, and mental effort during learning, as well as increasing their learning efficiency.

Comparing the effects of worked examples and modeling examples on learning

Example-based learning is an effective instructional strategy for students with low prior knowledge, and is increasingly being used in online learning environments. However, examples can take many different forms and little is known about whether and how form affects learning outcomes. Therefore, this study investigated whether worked examples and modeling examples with and without a visible model would be equally effective in fostering learning of a problem-solving task. In Experiment 1, secondary education students (N=78) learned how to solve a probability calculation problem by watching two videos that, depending on the assigned condition, provided worked examples (written text, pictures of problem states), modeling examples with a visible model (spoken text, a demonstration of the task), or modeling examples without a visible model (spoken text, pictures of problem states). Results showed that all three conditions were equally effective at fostering learning, near transfer, effort reduction, self-efficacy, and perceived competence. Experiment 2 (N=134) replicated these results with a younger student population that only studied one example. These findings suggest that the format of examples does not affect learning outcomes for this task; future research should investigate whether this would generalize to other problem-solving tasks.

Expertise reversal effect and sequencing of learning tasks in online English as a second language learning environment

The aim of this paper is to examine the effects of sequencing instructional materials and learners' prior knowledge on learning ESL (English as a second language) through an online learning course. 121 fifth-grade students from an elementary school in Korea participated in the study. Each participant was allocated to one cell of a 2 × 2 between-subjects factorial design, with an instructional format (i.e. sequential or concurrent) as a first factor, and prior knowledge (i.e. high or low) as a second factor. Instructions of the words and grammar rules were allocated to each page for the sequential group, whereas integrated on a single page for the concurrent group. The result indicates that the sequential instruction of words followed by grammar explanations was more effective for the students with higher levels of prior knowledge than the concurrent presentation. The reverse was also found for the students with lower levels of prior knowledge in English. There are four possible explanations for the results. First, split-attention effect, temporal-contiguity effect, or transient information effect might occur. Second, worked-example effect might occur and over-ride the effect of sequencing. Third, intrinsic and extraneous cognitive load might intertwine each other. Last, the levels of element interactivity in two instructional formats might be different from each other. The implications for instructional designers and future research are discussed.

Effects of type of exploratory strategy and prior knowledge on middle school students’ learning of chemical formulas from a 3D role-playing game

The purpose of this study was to examine the effects of the type of exploratory strategy and level of prior knowledge on middle school students’ performance and motivation in learning chemical formulas via a 3D role-playing game (RPG). Two types of exploratory strategies—RPG exploratory with worked-example and RPG exploratory without worked-example—and two levels of prior knowledge—high prior knowledge and low prior knowledge—were examined in the study. The 5E Instructional Model was employed as a learning framework in the RPG game design of The Alchemist’s Fort. One hundred and fifteen eighth-grade students from a Taiwanese school voluntarily participated in the 3-week experiment. The results indicate that (1) significant worked-example effect was revealed on knowledge comprehension and marginal worked-example effect occurred on knowledge application; (2) regardless of the type of exploratory strategy employed, learners showed mild positive motivation toward learning chemistry via a 3D RPG game; (3) higher prior-knowledge learners outperformed their lower prior-knowledge peers on performance measures; and (4) high prior-knowledge learners showed a higher degree of motivation in self-efficacy and science learning value than did the low prior-knowledge learners; however, lower prior-knowledge learners revealed higher learning environment stimulation than did their high prior-knowledge peers.

The Effect of Worked Examples When Learning to Write Essays in English Literature

Worked examples, commonly used in technical domains, are rarely used in language areas such as English literature. In 3 experiments, Korean university students for whom English was a foreign language received worked examples intended to facilitate problem solving in the ill-structured domain of English literature. During the learning phase, half of the students were presented conventional essay questions that they were asked to answer. The other half of the students were presented the same questions along with model answers that they were asked to study, followed by similar questions that they had to answer themselves. All students then were asked to answer retention, near and far transfer tests. Relatively more knowledgeable students were assigned to Experiment 1 than to Experiment 2, who, in turn, were more knowledgeable than were the students in Experiment 3. Results indicated that the effectiveness of worked examples increased with decreasing student knowledge.

Effects of worked examples in a primary school mathematics curriculum

A large body of research has shown that for novice learners, instruction that relies more heavily on worked examples than on problem solving, is more effective for learning as shown by higher test performance. Moreover, this beneficial effect is often obtained with less acquisition time and lower cognitive load during acquisition and test phase. However, most of this research has been conducted in laboratory settings with college or university students and a control condition consisting of problem solving without any additional support. The present study, using a quasi-experimental design, investigated the effects of implementing worked examples in an existing primary school mathematics curriculum in which a realistic mathematics teaching method is used, during a 3-week period. The results showed no significant differences in test performance or cognitive load; however, the worked examples group attained this level of performance with significantly less acquisition time.