Word problem solving approaches in mathematics textbooks: a comparison between Singapore and Spain

European Journal of Psychology of Education - Singaporean children are the best performers on international achievement tests in mathematics (i.e. the TIMSS). Their excellent results could be due...     

The mathematics problem: the construction of a market-led education discourse in the Republic of Ireland

Educational change in the neoliberal state is permeated by the effects of forces from outside the field of education itself. The process of governmentality welcomes, indeed demands, the participation of those non-state actors valorised by neoliberalism as well as government agencies dedicated to the advancement of such groups. Inevitably, the concerns of such organisations become central to how the state sees education. This article traces the assembly of national and international agents from industry, business and special interest groups around the concept of ‘knowledge economy’. It treats this assemblage as an apparatus (dispositif), examining how the construction of an economic problem is brought to bear on the demand for educational change, and how this construction of the problem is used to shape public opinion in order to prepare the public for a radical change of direction. Confining itself to the reform of mathematics education introduced in the Republic of Ireland in 2010, this article traces the emergence of a mathematics discourse focused on market-led education. It interrogates the construction of ‘the mathematics problem’ or ‘crisis in maths’ and argues that the discourse of the present construction is economic in nature, centring as it does on human capital production and market-led reform.     

What is the problem in problem-based learning in higher education mathematics

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.     

Synergies between theoretical approaches to mathematics education with technology: A case study through a cross-analysis methodology

Mathematics education as a research domain is characterized by a plurality of theoretical approaches. Acknowledging the existence of such diversity and the risks of an excessive theoretical fragmentation does not mean to search for a unifying theory but to urge the community to develop strategies for coping with this diversity. This article is meant to show the potential of a “cross-analysis” methodology for establishing connections between different theoretical approaches to mathematics education with technology. Within the frame of the ReMath European Project, two Teaching Experiments were realized, centred on the use of a same ICT tool—Casyopée. Two distinct theoretical approaches shaped both the Teaching Experiments design and their enactments: the Theory of Didactical Situations and the Theory of Semiotic Mediation. The two Teaching Experiments have then been analysed from both theoretical points of view. In this article we will provide some examples drawn from this cross-analysis that show the synergy which can be established between the aforementioned theoretical approaches. Beyond contributing to a deeper understanding of the observed “didactical phenomena”, that synergy allows establishing connections between the two approaches that lead to their reciprocal enrichment.     

中职教育数学教学中的问题情境创设。

教学情境是教师为了发展学生的心理机能,通过调动“情商”来增强教学效果,而有目的创设的教学环境．数学问题情境的创设,旨在让学生更多地参与思考、发现及创造的主动学习过程．教师应根据数学教学内容和学生生活实际创设问题情境,引导学生思考讨论,寻找解决方法,完成相关知识的学习,使学生在创造中体会数学知识的基本思想方法及精神实质,增强自信,培养能力．     

Multicultural approaches in education: a German experience

This paper is about learning in a multicultural context. It is not an outcome of academic research nor has it been composed in the tradition of armchair anthropology. It describes the development of a project which set off as an initiative in the field of pre‐school education to improve opportunities for Turkish migrant children, without expecting them to accomplish a one sided process of assimilation. Hence the work of the project and its co‐operating partners involved and affected a much wider range of people than the original ‘target group’, which accounts for the fact that in the following relatively little will be said about Turkish children.

     

Training leaders in mathematics education a contrast with science education

Some additional thoughts in JRST's continuing attention to the evolution of doctoral programs in education.     

Hierarchies in mathematics education

In mathematics education literature the term hierarchy is used in a number of ways. It is important that the mathematics educator consider the usefulness of the hierarchies presented by various researchers and theorists, in the light of their application to teaching. Current works on mathematical learning hierarchies are illustrated and in particular the work of the mathematics team of the research project Concepts in Secondary Mathematics and Science is examined.     

Toward a reconceptualization of model development from models-and-modeling perspective in mathematics education

Educational Studies in Mathematics - Models-and-modeling perspective (MMP) is a problem-solving and learning perspective in mathematics education. Although modeling processes have been addressed...     

Addressing the wicked problem of quality in higher education: theoretical approaches and implications

This article explores the wicked problem of quality in higher education, arguing for a more robust theorising of the subject at national, institutional and local department level. The focus of the discussion rests on principles for theorising in more rigorous ways about the multidimensional issue of quality. Quality in higher education is proposed as a wicked, ill-defined problem that is under-theorised yet associated with high stakes policy-making and funding, particularly at the macro national level. Theoretical frameworks informing the quality debate in higher education are explored before proposing four sensitising concepts as potential vehicles for enhancing theory-building around quality in higher education. The article concludes by considering practical implications for governments, universities and departments grappling with the complex suite of problems associated with defining, theorising, measuring and demonstrating quality in higher education.     

Toward inclusive mathematics education: a metatheoretical reflection about countering ableism in mathematics standards and curriculum

This article documents efforts to advance inclusive mathematics education practices involving the introduction of equity-oriented resources in state-level mathematics standards guidance documents in a Midwestern United States jurisdiction. We adopt a critical stance by looking at ways to interrogate available metatheories for these kinds of change-making processes. The guiding resources documented in the present article center on issues of difference. These issues are related to dis/ability in mathematics education standards and curriculum to not only raise teachers' awareness of constructions of difference in order to foster inclusive education, but also to promote critical self-reflections around ableism. Guiding resources are a means to support recognition of dis/ability difference as a source of multiple mathematical knowledge bases from which to learn and advance mathematics thinking. Yet, we also recognize the need to be vigilant about the complex interpretative contours and the relational dynamics at work throughout their various layers of implementation, assessment, and anti-ableist realignment. Accordingly, we reflect metatheoretically about three questions: How might concepts of access, achievement, identity, and power support teachers of mathematics in advancing inclusive practices? How do word choices in mathematics standards, curriculum, and practices dis/able students in classroom practices? What may we learn from the mathematics education experiences of individuals with dis/abilities and their families in the broad configuration of change-making dynamics of educational policies and teaching practices?     

The mathematics teacher in shadow education: a new area of focus in teacher education

Journal of Mathematics Teacher Education - This paper presents a discussion on a new focus area in mathematics teacher education, namely the mathematics teacher in shadow education (SE mathematics...     

HF: Working on mathematics education

First an impression will be given of the way Freudenthal worked on mathematics education during the period after WW II, until the early seventies. The sequence of events of that time form the leading principle of that period when important didactic concepts were being developed. In the following section the chronological order is set aside in an attempt to show how Freudenthal approached research, both in education and into mathematics education. In the next two sections two core themes are dealt with in detail: learning mathematics and developing mathematics education. Earlier didactic concepts are completed and further developed into key notions of a science of mathematics instruction.