4,591 research outputs found

    Antenna-Style Daggers in Northeast Asia from the Perspective of Interregional Interaction

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    This article examines the process of diffusion of bird-pair antenna-style daggers and swords in southern Manchuria, the Korean peninsula, and northern Kyushu, analyzing the distribution of the daggers and swords, classifying them, and establishing a chronology. The daggers are classified into three types and sub-divided based on blade, handle, and pommel characteristics. Each form was produced and used at different time periods and in different areas, emerging first in the Jilin-Changchun region, then expanding into the Northern Liao region, Pyongyang, and as far as Tsushima and northern Kyushu. The bird-pair antenna-style dagger of Northeast Asia is unlikely to have been a trade item imported from outside of the region. It is more likely a local development as indigenous cultures that manufactured mandolin-shaped or slender bronze daggers were influenced by the bronze cultures of northern Asia and Ordos, the upper part of the Yellow River. This new type of dagger possibly represented a symbolic or prestige good reflecting political or economic alliances within the PuyƏ state of southern Manchuria or the early Wiman ChosƏn state in Pyongyang or among the statelets of PyƏnhan and Chinhan in the YƏngnam region. The bird-pair antenna-style daggers eventually flourished in the YƏngnam region, where a local style developed. These daggers in turn diffused via immigration and trade to Tsushima in the mid-first century B.C.E

    The Persistent Difficulty of Early Fraction Ideas in Early Secondary School Mathematics

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    This study explored the nature of difficulties of seventh and eighth grade students who struggled building their conceptual understanding of early fraction ideas, in particular ordering fractions. The participants engaged in a sequence of lessons that involved the use of fraction circles. The intervention of four weekly class sessions was adapted from the Rational Number Project (RNP) curriculum that has been created for and refined through teaching experiments in the RNP research since 1979. Pre and post group interviews were conducted with each student group for a sufficient identification of the nature of the students’ difficulties. This study identified the whole number dominance strategies used by the students for ordering fractions before and even after the intervention. The students also revealed minimal use of informal ordering strategies that involve more conceptual than procedural understanding of the concept of initial fraction ideas. Considering the short intervention, there was subtle (but meaningful) evidence for a positive influence of the fraction circle model developed within the RNP on students’ developing understanding of early fraction ideas. This study suggests the need of a remedial intervention for early secondary students showing the persistent difficulty with early fraction ideas. Students need to be given enough time with not only concrete models but also appropriate usage of language to support a complete understanding of how to use the models. Keywords: Rational Number Project (RNP), fraction circle model, initial fraction ideas, ordering fraction

    Creating a Virtual World for Mathematics

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    A virtual world was created using the popular sandbox game Minecraft to support the development of preservice teachers’ knowledge for teaching mathematics. Preservice teachers explored the virtual world for a geometry activity involving area and volume problems. They then discussed how this integration of technology could support students’ effective learning of mathematics in a meaningful way. The findings of the study demonstrated that to a certain extent the Minecraft activity supported the transfer of knowledge from preservice teachers’ mathematics content knowledge to their mathematics pedagogical and instructional practice knowledge. Preservice teachers appreciated the usefulness and effectiveness of the Minecraft activity in enhancing the teaching and learning of mathematics by visualizing mathematical concepts in the virtual world. This integration of technology also gave them an opportunity for professional growth. Although this study focuses on preservice teachers’ perspectives on the Minecraft activity, the technology integration using Minecraft will also be beneficial for students because it engages them in active and discovery learning

    Effective Teaching for Place Value Understanding: A Case Study of a Literacy-Integrated Math Curriculum Module

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    A lesson sequence for place value was developed as an early intervention for kindergarteners. The sequence begins with a children’s picture book involving language familiar to children and continues with hands-on activities for children to make connections between and within multiple representations of place value. Through engaging in the literacy-integrated math curriculum module, kindergartners deepened their understanding of place value and the base-ten number system, as they were consistently engaged in problem solving and mathematical discourse triggered by their own mathematical thinking, as well as purposeful questions prompted by the teacher
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