162,043 research outputs found

    Complex Mathematics Education: An Integrated and Inquiry-Based Mathematics Teaching Method

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    Little is available in mathematics education research about what the teacher can anticipate from the students when applying inquiry-based learning (IBL). Even less is known about how to recognize and exploit on the spot when a mathematical domain, other than the one in focus, is activated in the students’ minds. Yet, in tests, in everyday life, and the labour market, it is common to face problems that require interrelated mathematical thinking. Although one of the unique advantages of complex mathematics education (CME) is the coherence between different domains and CME has been practiced for over half a century in Hungary, the Hungarian line of IBL has only recently joined the international methodological mainstream. In this paper, I summarize a segment of IBL correspondent to CME and integrated mathematics education, and I illustrate the possible divergence of solutions during implementation with an example that emerged about a probability game in a fifth-grade class

    Exploring the mathematics of motion through construction and collaboration

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    In this paper we give a detailed account of the design principles and construction of activities designed for learning about the relationships between position, velocity and acceleration, and corresponding kinematics graphs. Our approach is model-based, that is, it focuses attention on the idea that students constructed their own models – in the form of programs – to formalise and thus extend their existing knowledge. In these activities, students controlled the movement of objects in a programming environment, recording the motion data and plotting corresponding position-time and velocity-time graphs. They shared their findings on a specially-designed web-based collaboration system, and posted cross-site challenges to which others could react. We present learning episodes that provide evidence of students making discoveries about the relationships between different representations of motion. We conjecture that these discoveries arose from their activity in building models of motion and their participation in classroom and online communities

    Extending an Effective Classroom-Based Math Board Game Intervention to Preschoolers’ Homes

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    The preschool years are a critical time for math development. Unfortunately, children from low-income backgrounds often enter kindergarten with lower math skills than middle-income peers, perhaps due to less math exposure at home. Few home-based math interventions are available for preschool age children; those that do exist are costly and difficult to implement. Interventions conducted in children’s schools using linear numeric board games developed by researchers have been particularly successful with low-income preschool children. Researchers have suggested they may be adapted for home-use by using commercially available board games, such as Chutes and Ladders, and teaching parents how to play. The two studies described in this paper explored the effectiveness of using Chutes and Ladders with a specialized counting procedure with Head Start families. Implementation proved to be challenging and children did not improve as much as in previous classroom-based interventions

    The Mathematical Facts Of Games Of Chance Between Exposure, Teaching, And Contribution To Cognitive Therapies: Principles Of An Optimal Mathematical Intervention For Responsible Gambling

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    On the question of whether gambling behavior can be changed as result of teaching gamblers the mathematics of gambling, past studies have yielded contradictory results, and a clear conclusion has not yet been drawn. In this paper, I bring some criticisms to the empirical studies that tended to answer no to this hypothesis, regarding the sampling and laboratory testing, and I argue that an optimal mathematical scholastic intervention with the objective of preventing problem gambling is possible, by providing the principles that would optimize the structure and content of the teaching module. Given the ethical aspects of the exposure of mathematical facts behind games of chance, and starting from the slots case – where the parametric design is missing, we have to draw a line between ethical and optional information with respect to the mathematical content provided by a scholastic intervention. Arguing for the role of mathematics in problem-gambling prevention and treatment, interdisciplinary research directions are drawn toward implementing an optimal mathematical module in cognitive therapies

    Complete Issue 18, 1998

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    Building Middle-Level Mathematics Teachers\u27 Capacities as Teachers and Leaders: The Math in the Middle Institute Partnership

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    This article describes professional development for middle-level mathematics teachers offered through the Math in the Middle Institute Partnership, a National Science Foundation-funded project to build teachers’ capacities to improve mathematics learning for all students. An overview of the project, including descriptions of its goals and curriculum are provided. Detailed descriptions of two mathematics courses and one pedagogy course are offered. The mathematics courses included here are the introductory course to the Math in the Middle Institute, as well as one of the final math courses of the Institute in which participants apply mathematical knowledge and processes to real-world problems. The pedagogy course features curriculum that enables teachers to acquire an understanding of the nature and purpose of action research, and launches teachers into planning and implementing systematic inquiry in their own mathematics classrooms around topics of their choosing. The varied abilities of teachers, as well as growth in teachers’ mathematical and pedagogical capacities, are represented by several samples of student work provided within the article. In addition, mathematical and pedagogical products of student work are also provided through the project’s URL links. Improving teacher quality is identified as a national need in mathematics education and one many universities and schools across the country are working in partnership to try to address. This article describes a professional development project aimed at improving mathematics teaching and learning in the middle grades. An overview of the project, along with a close look at several of its course offerings, are presented highlighting mathematical and pedagogical goals, challenges, and accomplishments

    Development Of Metacognitive And Discursive Activities In Indonesian Maths Teaching A theory based analysis of communication processes

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    We report on a German-Indonesian feasibility study which aims to significantly increase the mathematical skills of Indonesian secondary school students. For this study a learning environment for basic secondary school mathematics in class seven has been developed. It focuses on fostering cognitive, metacognitive and discursive activities. For the effectiveness of the new instructional concept it is necessary that those activities are an important feature of the teaching and learning culture in the classroom instruction. In this paper we present the theoretical framework for the new approach to teaching and learning. We use two transcript-based examples to exemplify and explain the observable features of this classroom culture und to formulate consequences for the following instruction development. Keywords: classroom culture, metacognition, discursivity, cognitive activatio

    Value’s of Mathematics Education and Citizenship Education

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    Currently, the Indonesian plane of life is miserable, inparticular on behavior. It is shown by the mushrooming acts of corruption, bribery, anarchy, public deceiving, traffic incompliance, etc. This mean any problem in nation character. The nation character building is the duty of citizenship education. The mission of citizenship education in Indonesian is develop or build the nation character as the instructional effects and nurturant effects. Whereas, another courses include mathematics course have to develop the nation characters through the nurturent effect of the instructional. This paper discussed about the relationship between values of mathematics education and characters contained in Citizenship Education. Key word: value, character, mathematics, citizenshi

    Digital technology in mathematics education: Why it works (or doesn't)

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    The integration of digital technology confronts teachers, educators and researchers with many questions. What is the potential of ICT for learning and teaching, and which factors are decisive in making it work in the mathematics classroom? To investigate these questions, six cases from leading studies in the field are described, and decisive success factors are identified. This leads to the conclusion that crucial factors for the success of digital technology in mathematics education include the design of the digital tool and corresponding tasks exploiting the tool's pedagogical potential, the role of the teacher and the educational context

    Dealing with abstraction: Case study generalisation as a method for eliciting design patterns

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    Developing a pattern language is a non-trivial problem. A critical requirement is a method to support pattern writers with abstraction, so as they can produce generalised patterns. In this paper, we address this issue by developing a structured process of generalisation. It is important that this process is initiated through engaging participants in identifying initial patterns, i.e. directly dealing with the 'cold-start' problem. We have found that short case study descriptions provide a productive 'way into' the process for participants. We reflect on a 1-year interdisciplinary pan-European research project involving the development of almost 30 cases and over 150 patterns. We provide example cases, detailing the process by which their associated patterns emerged. This was based on a foundation for generalisation from cases with common attributes. We discuss the merits of this approach and its implications for pattern development
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