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Middle School Pre-Service Teachers’ Mathematics Content Knowledge And Mathematical Pedagogy Content Knowledge: Assessing And Relating

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Middle School Pre-Service Teachers’ Mathematics Content Knowledge And Mathematical Pedagogy Content Knowledge: Assessing And Relating

Author: Stephen Norton

Publication Year: 2018

Abstract

This paper examines the mathematics content knowledge of graduate entry middle school mathematics pre-service teachers at the beginning (n=105; 80%) and end of a mathematics curriculum course. It was found that mathematics content knowledge at the commencement of the course was not strong. An intervention was designed to take account of content while preparing teachers to teach the material with specific pedagogical models. On a test of similar difficulty level, the marks approximately doubled, but in areas of upper secondary mathematics, significant deficits remained. Content knowledge at the end of the course was highly predictive of measures of mathematics pedagogical knowledge including how to diagnose student errors and plan learning support. The finding have implications for teacher preparation at the study institution and potentially more broadly.

Type: research paper

Stephen Norton
Middle School Pre-Service Teachers’ Mathematics Content Knowledge And Mathematical Pedagogy Content Knowledge: Assessing And Relating

Short Communications & Round Tables

The following documents are essential to read and complete when considering submitting a short communication or round table to the MERGA conference (available in the Submission section of this website).

MERGA Paper Template – to be used to write the abstracts which are then submitted to the MERGA conference website
MERGA Publication Agreement – to be submitted on the MERGA conference website at the time of the abstract submission

Submissions not exceeding one page are required for short communications and round tables. The submissions must be prepared using the conference template, and can include essential references. They will be reviewed by the Editorial Team and, if accepted, will be published in the conference proceedings as one-page abstracts (not as papers). Presenters are invited to prepare a paper for distribution at the conference, but these papers will not be included in the proceedings.

Short communications are suitable for reports on research in mathematics education that do not fully meet the requirements for published papers. These might include works in preliminary stages, reports of pilot projects, initial reviews of literature, ideas or suggestions for future study, and briefer discussions of particular issues. Short communications allow new researchers to obtain feedback on projects in a constructive and supportive environment, and foster the building of links between researchers with similar interests.

Short communications are presented by author(s) only, allocated half of the time for research reports (in past, this was 20 minutes). At least 5 minutes is to be allocated for audience questions and open discussion.

Round tables are suitable for presenters seeking involved interaction with the audience in relation to their research or topic of interest in mathematics education, and for those sharing their insights and advice with the early career colleagues. These might include discussion of an emerging topic, co-analysis of provided student work, solving a mathematical task, or discussing the demands and benefits of reviewing for high quality journals. Round tables allow finding peers with similar research interests, exploration of new research avenues, and building the capacity of MERGA community.

Round tables are led by author(s) only, allocated the same time as research reports (in past, this was 40 minutes). The abstracts should make clear the interactive element of the proposed activity, with no more than 15 min of the session time in a presentation mode.

Research Papers

The following documents are essential to read and complete when considering submitting a research paper to the MERGA conference (available in the Submission section of this website).

MERGA Paper Template – to be used to write the papers which are then submitted to the MERGA conference website
MERGA Publication Agreement – to be submitted on the MERGA conference website at the time of the paper submission

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1. Reports of empirical investigations

When empirical investigations are reported (such as in an experimental intervention, confirmatory study, or action research, etc.), the paper should also include

a statement of rationale for methodologies used in collecting and analysing data;
a critical discussion of data findings in the light of the research literature; and
in the literature review, prior work in the area should be acknowledged and an explanation of how the work reported in the paper builds on that earlier work should be included.

2. Reports that are not based on empirical research including:

a theoretical discussion;
a position paper;
a report of scholarly enquiry in progress;
a literature review, a meta-study;
an account of a new initiative;
a reflective critique of practice; or
any mixture of these or other recognised scholarly forms.

When the work is a theoretical discussion, a position paper, a report of scholarly inquiry in progress, a review of literature, a theoretical study, a meta-study, an account of a new initiative, a reflective critique of practice or any mixture of these or other recognised scholarly forms, the material presented must be discussed critically, and alternative points of view relating to themes presented should be appropriately argued.
It is expected that presenting authors will have 40 minutes to present their work at the conference. At least 10 minutes must be allowed to field questions and comments from the audience.

Structure of research papers – All papers for publication in the conference proceedings should contain the following:

a statement of the problem/issue and a discussion of its significance;
a critical analysis of the research literature as it relates to the topic of the paper; and
conclusions and implications for mathematics education derived from the study.

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MERGA Paper Template (to be used to write the papers which are then submitted to the MERGA conference website)
MERGA Publication Agreement (to be submitted on the MERGA conference website at the time of the paper submission)

Presentation of groups of published papers related by theme in the form of a research symposium is encouraged. The symposium forum will be particularly suitable for presentations relating to a single large project or presentations that explore topical themes from different and/or related perspectives. Special Interest Groups [SIGs] are encouraged to consider the symposium option as a means for sharing and discussing current research.

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A brief overview of the symposium (limit one page), including a symposium title, an introduction to the theme/project, and a short introduction to each of the 3-4 contributions, must be submitted with the set of short papers. Please list the symposium convenors as the authors on the first page, and name the paper authors in the text description.

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