Two IJSME articles

Two articles has recently been published online in International Journal of Science and Mathematics Education. Here are the titles and abstracts:

  • Lene Møller Madsen and Carl Winsløw have written an article called “RELATIONS BETWEEN TEACHING AND RESEARCH IN PHYSICAL GEOGRAPHY AND MATHEMATICS AT RESEARCH-INTENSIVE UNIVERSITIES“. Abstract: We examine the relationship between research and teaching practices as they are enacted by university professors in a research-intensive university. First we propose a theoretical model for the study of this relationship based on Chevallard’s anthropological theory. This model is used to design and analyze an interview study with physical geographers and mathematicians at the University of Copenhagen. We found significant differences in how the respondents from the two disciplines assessed the relationship between research and teaching. Above all, while geography research practices are often and smoothly integrated into geography teaching even at the undergraduate level, teaching in mathematics may at best be ‘similar’ to mathematical research practice, at least at the undergraduate level. Finally, we discuss the educational implications of these findings.
  • Muammer Çalik, Alipaşa Ayas and Richard K. Coll wrote an article called “INVESTIGATING THE EFFECTIVENESS OF AN ANALOGY ACTIVITY IN IMPROVING STUDENTS’ CONCEPTUAL CHANGE FOR SOLUTION CHEMISTRY CONCEPTS“. Abstract: This paper reports on an investigation on the use of an analogy activity and seeks to provide evidence of whether the activity enables students to change alternative conceptions towards views more in accord with scientific views for aspects of solution chemistry. We were also interested in how robust any change was and whether these changes in conceptual thinking became embedded in the students’ long-term memory. The study has its theoretical basis in an interpretive paradigm, and used multiple methods to probe the issues in depth. Data collection consisted of two concept test items, one-on-one interviews, and student self-assessment. The sample consisted of 44 Grade 9 students selected from two intact classes (22 each), from Trabzon, Turkey. The interviews were conducted with six students selected because of evidence as to their significant conceptual change in solution chemistry. The research findings revealed statistically significant differences in pre-test and post-test scores, and pre-test and delayed post-test scores (p<0.05), but no differences between post-test and delayed test scores (p>0.05). This suggests that the analogy activity is helpful in enhancing students’ conceptual understanding of solution chemistry, and that these changes may be stored in the students’ long-term memory.

Structures of argumentation

Christine Knipping wrote an article that was recently published online in ZDM. The article is entitled: A method for revealing structures of argumentations in classroom proving processes. Here is the abstract:

Proving processes in classrooms follow their own peculiar rationale. Reconstructing structures of argumentations in these processes reveals elements of this rationale. This article provides theoretical and methodological tools to reconstruct argumentation structures in proving processes and to shed light to their rationale. Toulmin’s functional model of argumentation is used for reconstructing local arguments, and it is extended to provide a ‘global’ model of argumentation for reconstructing proving processes in the classroom.

How is subjectivity understood?

Tony Brown has written an article that was recently published online in Educational Studies in Mathematics. The article is entitled “Signifying “students”, “teachers” and “mathematics”: a reading of a special issue“, and here is the abstract:

This paper examines a Special Issue of Educational Studies in Mathematics comprising research reports centred on Peircian semiotics in mathematics education, written by some of the major authors in the area. The paper is targeted at inspecting how subjectivity is understood, or implied, in those reports. It seeks to delineate how the conceptions of subjectivity suggested are defined as a result of their being a function of the domain within which the authors reflexively situate themselves. The paper first considers how such understandings shape concepts of mathematics, students and teachers. It then explores how the research domain is understood by the authors as suggested through their implied positioning in relation to teachers, teacher educators, researchers and other potential readers.

ESM, July 2008

Open-ended problems

The International Journal for Mathematics Teaching and Learning has recently published an article called: “Teaching and Evaluating ‘Open-Ended’ Problems“. The article is written by Rama Klavir and Sarah Hershkovitz, and it is freely available in pdf format. Here is the abstract:

This paper focuses on an open-ended problem. The problem comprises a group of four numbers from which the students are asked to find the one that does not belong. Each of the numbers can be selected as not belonging, each one for different reasons. The problem was given to 164 fifth-grade students. The paper suggests tools for teachers to analyze and evaluate the work of their students when dealing with problems of this kind.

NCTM and the development of mathematics education in the US

NCTM is a huge organization for teachers of mathematics in the US, and it has certainly had a strong impact through the years. Michael Paul Goldenberg – author of the blog: Rational Mathematics Education – has written a very long and interesting article where he criticize this grand organization. For me – a Norwegian researcher with both legs planted firmly in Europe – this provides an interesting insight into the US discourse. I recommend reading the article, whether you agree with his views or not!

The system of coordinates and the concept of dimension

Constantine Skordoulis et al. have written an article called “The system of coordinates as an obstacle in understanding the concept of dimension“. This article has recently been published online in International Journal of Science and Mathematics Education. Here is the abstract of the article:

The concept of dimension, one of the most fundamental ideas in mathematics, is firmly rooted in the basis of the school geometry in such a way that mathematics teachers rarely feel the need to mention anything about it. However, the concept of dimension is far from being fully understood by students, even at the college level. In this paper, we examine whether the Cartesian x-y plane is responsible for student difficulty in estimating the value of the dimension of an object, or is it only students misconceptions about dimension that lead them to a false estimation of the value of the dimension of various objects. A second question discussed in this paper examines whether the system of coordinates acts as an epistemological obstacle or whether it has only a didactical character.

ESM, June 2008

Educational Studies in Mathematics has published the June issue. This issue is in memory of Jim Kaput, and has a title: Democratizing Access to Mathematics through Technology: Issues of Design, Theory and Implementation— In Memory of Jim Kaput’s Work.

There are several interesting articles in this issue. Here are the headlines:

Attrition of mathematics teachers

Gillian Hampden-Thompson, William L. Herring and Gregory Kienzl have written a report called Attrition of Public School Mathematics and Science Teachers. A 4-page abstract of the report is available as downloadable PDF. Here is the abstract:

Using data from the Teacher Follow-up Survey (TFS), this Issue Brief reports on trends in the attrition of public school mathematics and science teachers over a 16-year period and examines the reasons given by mathematics and science teachers for leaving teaching employment. Findings from the analysis indicate that the percentage of public school mathematics and science teachers who left teaching employment did not change measurably between 1988–89 and 2004–05. However, the percentage of other public school teachers who left teaching employment did increase over the same period. Differences were found between mathematics and science leavers and other leavers. For example, of those teachers with a regular or standard certification, a smaller percentage of mathematics and science teachers than other teachers left teaching employment. In addition, when asked to rate various reasons for leaving the teaching profession, greater percentages of mathematics and science leavers than other leavers rated better salary or benefits as very important or extremely important.