IJSME, Vol 7, Number 2

International Journal of Science and Mathematics Education has just released their second issue this year, the April issue (!). The issue contains 9 interesting articles:

Transition between different coordinate systems

Mariana Montiel, Biguel R. Wilhelmi, Draga Vidakovic and Iwan Elstak have written an article called Using the onto-semiotic approach to identify and analyze mathematical meaning when transiting between different coordinate systems in a multivariate context. The article was published online in Educational Studies in Mathematics on Saturday. Here is the abstract of their article:

The main objective of this paper is to apply the onto-semiotic approach to analyze the mathematical concept of different coordinate systems, as well as some situations and university students’ actions related to these coordinate systems. The identification of objects that emerge from the mathematical activity and a first intent to describe an epistemic network that relates to this activity were carried out. Multivariate calculus students’ responses to questions involving single and multivariate functions in polar, cylindrical, and spherical coordinates were used to classify semiotic functions that relate the different mathematical objects.

Changing practice, changing minds

I like the title of a new article written by Jeanne Tunks and Kirk Weller, especially the first part of it! Here is the entire title: Changing practice, changing minds, from arithmetical to algebraic thinking: an application of the concerns-based adoption model (CBAM). This article was published online in Educational Studies in Mathematics on Saturday, and it discusses the results of a yearlong innovation program called “Teacher Quality Grant”. And, just to avoid any misunderstandings: it is not only the title of the article I find interesting. The article itself is very interesting, and the program described also appears to be quite interesting. Here is the abstract of the article:

This study examines the process of change among grade 4 teachers (students aged 9–10 years) who participated in a yearlong Teacher Quality Grant innovation program. The concerns-based adoption model (CBAM), which informed the design and implementation of the program, was used to examine the process of change. Two questions guided the investigation: (1) How did teachers’ concerns about and levels of use of the innovation evolve during the course of the project? (2) What changes in teachers’ perceptions and practices arose as a result of the innovation? Results showed that several of the teachers’ concerns evolved from self/task toward impact. With continued support, several participants achieved routine levels of use, which they sustained beyond the project.

ESM, March 2009

Educational Studies in Mathematics – one of the most important journals within our field – has just released their Volume 70, Number 2/March, 2009. This is a special issue with a focus on Gestures and Multimodality in the Construction of Mathematical Meaning. It contains 10 interesting articles:

10 Articles
No access to content  91-95
No access to content  97-109
No access to content  111-126
No access to content  127-141
No access to content  143-157
No access to content  159-174
No access to content  175-189
No access to content  191-200
No access to content  201-210
No access to content  211-215

Geometric and algebraic approaches

Iliada Elia, Athanasios Gagatsis, Areti Panaoura, Theodosis Zachariades and Fotini Zoulinaki have written an article entitled Geometric and algebraic approaches in the concept of “limit” and the impact of the “didactic contract”. The article was published in International Journal of Science and Mathematics Education on Friday. Here is a copy of their article abstract:

The present study explores students’ abilities in conversions between geometric and algebraic representations, in problem- solving situations involving the concept of “limit” and the interrelation of these abilities with students’ constructed understanding of this concept. An attempt is also made to examine the impact of the “didactic contract” on students’ performance through the processes they employ in tackling specific tasks on the concept of limit. Data were collected from 222 12th-grade high school students in Greece. The results indicated that students who had constructed a conceptual understanding of limit were the ones most probable to accomplish the conversions of limits from the algebraic to the geometric representations and the reverse. The findings revealed the compartmentalized way of students’ thinking in non-routine problems by means of their performance in simpler conversion tasks. Students who did not perform under the conditions of the didactic contract were found to be more consistent in their responses for various conversion tasks and complex problems on limits, compared to students who, as a consequence of the didactic contract, used only algorithmic processes.

Ethiopian students in Israel

Tiruwork Mulat and Abraham Arcavi have written an article about Success in mathematics within a challenged minority: the case of students of Ethiopian origin in Israel (SEO). The article was published on Friday in Educational Studies in Mathematics. Here is an abstract of their article:

Many studies have reported on the economical, social, and educational difficulties encountered by Ethiopian Jews since their immigration to Israel. Furthermore, the overall academic underachievement and poor representation of students of Ethiopian origin (SEO) in the advanced mathematics and science classes were highlighted and described. Yet, studies focusing on differential achievements within SEO and on students who succeed against all odds are scarce. In this study, we explored success stories of five SEO studying in a pre-academic program at a prestigious technological university in Israel. Our goal was to understand how these students frame and interpret their success in mathematics and to identify elements perceived as fostering their mathematics and academic trajectories. Using qualitative methodology, we identified perceived personal motivational variables, effective learning and coping strategies, and students’ immediate environment as key elements contributing to achieving and maintaining success. We discuss possible theoretical contributions and practical implications of the findings.

Mathematical interaction in different social settings

Marcus Nührenbörger and Heinz Steinbring have written an article called Forms of mathematical interaction in different social settings: examples from students’, teachers’ and teacher–students’ communication about mathematics. The article was published on Friday in Journal of Mathematics Teacher Education. This article is related to teachers’ reflection and the construction of mathematical knowledge. Here is the abstract:

The study presented in this article investigates forms of mathematical interaction in different social settings. One major interest is to better understand mathematics teachers’ joint professional discourse while observing and analysing young students mathematical interaction followed by teacher’s intervention. The teachers’ joint professional discourse is about a combined learning and talking between two students before an intervention by their teacher (setting 1) and then it is about the students learning together with the teacher during their mathematical work (setting 2). The joint professional teachers’ discourse constitutes setting 3. This combination of social settings 1 and 2 is taken as an opportunity for mathematics teachers’ professionalisation process when interpreting the students’ mathematical interactions in a more and more professional and sensible way. The epistemological analysis of mathematical sign-systems in communication and interaction in these three settings gives evidence of different types of mathematical talk, which are explained depending on the according social setting. Whereas the interaction between students or between teachers is affected by phases of a process-oriented and investigated talk, the interaction between students and teachers is mainly closed and structured by the ideas of the teacher and by the expectations of the students.

Teachers’ reflective thinking skills

Amanda Jansen and Sandy M. Spitzer have written an article entitled Prospective middle school mathematics teachers’ reflective thinking skills: descriptions of their students’ thinking and interpretations of their teaching. The article was published online in Journal of Mathematics Teacher Education on Friday. Jansen and Spitzer takes the belief “that mathematics teacher educators should foster reflective thinking among prospective teachers” as point of departure, and they ask how teacher educators can help students prepare for this. In their article, which I think is very interesting by the way, they present Lesson study as an approach that can be used in order to learn from practice. Their study is also described as a “modified lesson study experience”.

Here is the article abstract:

In this study, we examined prospective middle school mathematics teachers’ reflective thinking skills to understand how they learned from their own teaching practice when engaging in a modified lesson study experience. Our goal was to identify variations among prospective teachers’ descriptions of students’ thinking and frequency of their interpretations about how teaching affected their students’ learning. Thirty-three participants responded to open-ended questionnaires or interviews that elicited reflections on their own teaching practice. Prospective teachers used two forms of nuance when describing their students’ thinking: (1) identifying students’ specific mathematical understandings rather than general claims and (2) differentiating between individual students’ thinking rather than characterizing students as a collective group. Participants who described their students’ thinking with nuance were more likely to interpret their teaching by posing multiple hypotheses with regard to how their instruction affected their students’ learning. Implications for supporting continued growth in reflective thinking skills are discussed in relation to these results.

IJMEST, volume 40, issue 2, 2009

International Journal of Mathematical Education in Science and Technology has just released issue 2 of 2009. Here is a list of the original articles included in the issue:

Authors: Ann Kajander; Miroslav Lovric
DOI: 10.1080/00207390701691558
Authors: T. Vilkomir; J. O’Donoghue
DOI: 10.1080/00207390802276200
Author: Nevin Mahir
DOI: 10.1080/00207390802213591
Authors: Valsa Koshy; Paul Ernest; Ron Casey
DOI: 10.1080/00207390802566907
Authors: Sinead Breen; Joan Cleary; Ann O’Shea
DOI: 10.1080/00207390802566915
Authors: Sonya Ellouise Sherrod; Jerry Dwyer; Ratna Narayan
DOI: 10.1080/00207390802566923
Author: Victor Martinez-Luaces
DOI: 10.1080/00207390802276291