The Van Hiele Model of Thinking in Geometry Among Adolescents (Jrme Monographs, Vol 3)

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Chapter 4 follows with the project's formulation of the van Hiele model and level descriptors with sample student responses to questions or activities in the instructional modules.

انتشارات National Council Of Teachers Of Mathematics

In chapters 5, 6, and 7, the individual performances of 32 students are analyzed and discussed and the findings are summarized. The performances of eight preservice and five inservice teachers on selected activities from the instructional modules are analyzed and reported in chapter 8. An analysis of the geometry strand in three United States mathematics textbook series, grades K-8, is set forth in chapter 9.

Implications of the project's study as well as questions for further research are discussed in chapter Findings from large-scale grant projects are often disseminated in multiple journal articles. Producing several journal articles helps build a project portfolio, which can then be used to advance the case for additional funding.

The Van Hiele Model of Thinking in Geometry Among Adolescents (Jrme Monographs, Vol 3)

It also ensures that the findings reach several different audiences. However, one disadvantage of relying on this method of dissemination alone is that the project may be portrayed in a fragmented manner.

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Readers must put considerable effort into synthesizing multiple reports and relating them to one another. A monograph can help readers see the big picture of a project and provide a frame of reference for understanding relationships among its multiple published studies. Despite the advantages associated with disseminating research in monograph form, writing one is, of course, an immense undertaking. In the past, prospective JRME monograph authors had to submit the entire manuscript at the outset of the review process, which might have discouraged monograph submissions.

Recently, the submission and review process for JRME monographs was changed to more closely resemble the process of submitting a book proposal. Rather than submitting the entire monograph immediately, prospective authors or editors are to send the following materials directly to the monograph series editor:.

This new process is designed to encourage more authors to consider proposing monographs, while at the same time maintaining the rigorous peer review process.


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  2. The Van Hiele Model Of Thinking In Geometry Among Adolescents Jrme Monographs Vol 3.
  3. JRME Monographs: Looking Back and Thinking Forward - National Council of Teachers of Mathematics.
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When proposals are submitted, they will be reviewed by the Monograph Series Editor and four reviewers. The editor will use the reviews to make a publication decision and then communicate it to the author.


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  • It is possible to receive a revise and resubmit decision at the conclusion of each round of review. If the proposal is accepted, the author will be encouraged to submit a full manuscript that addresses comments and concerns that arose during the review process. The editor will examine the submitted manuscript to verify that requested adjustments have been made and then send it to two reviewers for feedback. The author will use this feedback to improve the manuscript and work with the editor as the manuscript is prepared for publication. There has been a large gap in time between JRME monographs.

    This lack of activity is unfortunate for researchers as well as for NCTM as a professional organization. JRME monographs are relatively inexpensive for readers to purchase as compared with the prices charged by some academic book publishers. This helps increase the readership and impact of the work reported in monographs. Given the various forces that attempt to exert influence over mathematics education in the current political climate, it is vital for NCTM to maintain a prominent position.

    In a similar vein, publishing a JRME monograph can help researchers maximize the impact of their work on the field. Hopefully, the near future holds in store a number of high-quality JRME monograph proposals. Barrett, J. Journal for Research in Mathematics Education monograph series.

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    Everyday and academic mathematics in the classroom. Cai, J. A cognitive analysis of U. Carraher, D. Medium and meaning: Video papers in mathematics education. Clements, D.

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    Logo and geometry. Davis, R. Constructivist views on the teaching and learning of mathematics. Ferrini-Mundy, J. Fuys, D. The van Hiele model of thinking in geometry among adolescents. Psychometric methods in mathematics education: Opportunities, challenges, and interdisciplinary collaborations.

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