Identifying the mental models held by students has been widely emphasized as being a pivotal aspect of effective science education. In fact, it allows us to understand students' conceptions, detect teaching-learning difficulties and tailor instruction accordingly. Hence, in this study, the plant nutrition mental models held by upper secondary…

Persistent difficulties in learning abstract algebraic concepts--particularly among preservice mathematics teachers--continue to hinder students' mathematical development. While prior studies have documented general misconceptions, few have grounded their analysis in comprehensive learning theories. Addressing this gap, the present study adopts…

This study investigated Chinese international students' sense of belonging by exploring the cultural and cognitive validity of a commonly used sense of belonging instrument, namely the Hoffman et al.'s (2002) Sense of Belonging Scale. Cognitive interviewing procedures supplemented with open-ended questions were administered to 20 sophomore- and…

Mathematical calculations are an important part of chemistry. Those problems are difficult for students, especially if the task is set with a limiting reactant. The aim of this study was development of a Procedure for evaluation of cognitive complexity of the Stoichiometric Tasks with a Limiting Reactant. The procedure created included an…

This qualitative case study examined similarities and differences between circle geometric proof development tasks set up in the Malawian Grade 11 mathematics textbook, and those that are set up and implemented by teachers in the classroom. Data generation included analysing the content of circle geometry proof tasks from the mathematics textbook…

There is considerable variety in inquiry-oriented instruction, but what is common is that students assume roles in mathematical activity that in a traditional, lecture-based class are either assumed by the teacher (or text) or are not visible at all in traditional math classrooms. This paper is a case study of the teaching of an inquiry-based…

Research in mathematics education has established that gestures--spontaneous movements of the hand that accompany speech--are important for learning. In the present study, we examine how students use gestures to communicate with each other while proving geometric conjectures, arguing that this communication represents an example of extended…

This paper presents a model of how children generate concrete concepts from perception through processes of differentiation and integration. The model informs the design of a novel methodology ("evolutionary maps" or "emaps"), whose implementation on certain domains unfolds the web of itineraries that children may follow in the…

Concept inventories hold tremendous promise for promoting the rigorous evaluation of teaching methods that might remedy common student misconceptions and promote deep learning. The measurements from concept inventories can be trusted only if the concept inventories are evaluated both by expert feedback and statistical scrutiny (psychometric…

Science educators have long been concerned with how formal schooling contributes to learners' capacities to engage with science after school. This article frames productive engagement as fundamentally about the coordination of claims with evidence, but such coordination requires a number of reasoning capabilities to evaluate the strength of…

In this article I report on a study of the cognitive tools that research mathematicians employ when developing deep understandings of abstract mathematical definitions. I arrived at several conclusions about this process: Examples play a predominant role in understanding definitions. Equivalent reformulations of definitions enrich understanding.…

When William G. Perry (1968) developed his scheme of nine stages of cognitive development, most of which are experienced during the college years, he did not attempt to quantify it. Subsequently, T. D. Erwin (1983) constructed a scale that attempted to quantify the Perry scheme. His findings supported the overall conception of student development…

The purpose of this study was to empirically test a set of predictions implied by the Model of Conceptual Learning and Development using the concept of cutting tool. Four subtests were developed to assess a subject's ability to perform at each of four successive levels of concept attainment (concrete, identity, classificatory and formal). In…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…