• School Mathematics
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• v.6 no.1
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• pp.59-90
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• 2004

This study has been established with two purposes. The first one is to development the learning-teaching model for enhancing students' creative proof capacities in the domain of demonstrative geometry as subject content. The second one is to aim at experimentally testing its effectiveness. First, we develop the learning-teaching model for enhancing students' proof capacities. This model is named the generative-convergent model based instruction. It consists of the following components: warming-up activities, generative activities, convergent activities, reflective discussion, other high quality resources etc. Second, to investigate the effects of the generative-convergent model based instruction, 160 8th-grade students are selected and are assigned to experimental and control groups. We focused that the generative-convergent model based instruction would be more effective than the traditional teaching method for improving middle school students' proof-writing capacities and error remediation. In conclusion, the generative-convergent model based instruction would be useful for improving middle grade students' proof-writing capacities. We suggest the following: first, it is required to refine the generative-convergent model for enhancing proof-problem solving capacities; second, it is also required to develop teaching materials in the generative-convergent model based instruction.

• Journal of The Korean Association For Science Education
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• v.34 no.6
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• pp.523-534
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• 2014

This study aimed to develop collective intelligence (CI) based instructional models for teaching socioscientific issues on the basis of intimate collaboration with science teachers, and to investigate the participating teachers' perceptions on the effectiveness of the instructional models. Adapting the ADDIE model, we suggested three types of SSI instructional models (i.e. generative model, exploratory model, and decision-making model). Generative models emphasized the process of brainstorming ideas or possible solutions for SSI. Exploratory models focused on providing students opportunities to explore various SSI cases and diverse perspectives to understand its controversial nature and complexity. Decision-making models encouraged students to negotiate or develop a group-consensus on SSI through the dialogical process. After implementing the instructional models in the science classroom, the teachers reported that CI-based SSI instructional models contributed to encouraging students' active participation and collaboration as well as to improving the quality of their argument or discourses on SSI. They also supported the importance of developing collective consciousness on the issues in the beginning of the SSI class, providing independent time and space for reflecting on their personal values and opinions with scientific evidence, and formulating an atmosphere where they freely exchanged opinions and feedback for constructing better collective ideas.