Math-Towers: Online Interactive Collaborative Mathematics Explorations & Problem-Solving for Students Ages 11 to 15 years (Grades 6 to 10)

Math-Towers (www.math-towers.ca) is an online resource for students in grades 6 to 10 that supports collaborative problem-solving and investigations. This paper presents the philosophical position motivating the development of Math-Towers and describes how the site presents and motivates the mathematical challenges and supports participants' exploration and collaboration.

Preservice Elementary Teachers’ Beliefs toward Mathematics and Mathematics Teaching

As they began their one-year teacher education program 138 elementary school teacher candidates completed a questionnaire designed to measure their beliefs concerning the nature of mathematics, measured on a scale from absolutist to fallibilist, and their beliefs concerning effective mathematics instruction, measured on a scale from traditional to constructivist. Interviews were conducted with volunteer questionnaire participants, with selection based on the questionnaire results and using two sets of criteria. Study 1. involved 8 teacher candidates showing distinct absolutist or fallibilist views of mathematics and individual interviews explored participants' beliefs concerning the use of information and communication technology, particularly interactive whiteboards (IWB), in the teaching and learning of mathematics. Participants with absolutist beliefs about the nature of mathematics tended to focus on the IWB as a presentation tool, while those with fallibilist beliefs appreciated the use of the IWB to support student exploration. Study 2. involved 8 teacher candidates with apparently misaligning absolutist beliefs concerning the nature of mathematics and constructivist beliefs concerning teaching. Interviews exploring participants' favoured instructional approaches, particularly those involving the use of manipulatives, showed that constructivist views involved essentially surface beliefs and that in fact manipulatives would be employed to support traditional direct instruction.

One thing leads to another: science in the news as a basis for curriculum and professional development

Science based news is widely reported in the media. The ability to interact critically with such news reports is increasingly seen as a legitimate part of the science education agenda. This paper reports the findings of two studies looking at the early response and subsequent usage of a resource promoting the integration of science-based news in secondary science curriculum in Northern Ireland. This paper charts the introduction of the resource into schools. The subsequent impact on the science curriculum and the implications for teacher professional development are considered. Many science teachers demonstrate willingness and aptitude to use primary media sources within their teaching. Some who adopted the resource demonstrate the capacity to sustain the development using the resource as a catalyst in ongoing curricular change. Insights gained in this study are relevant to policy makers and curriculum developers as well as teachers seeking to promote this aspect of science education

Calibration of assessment instruments – classification in mathematics at the Universidad Jorge Tadeo Lozano

Item Response Theory, IRT, is a valuable methodology for analyzing the quality of the instruments utilized in assessment of academic achievement. This article presents an implementation of the mentioned theory, particularly of the Rasch model, in order to calibrate items and the instrument used in the classification test for the Basic Mathematics subject at Universidad Jorge Tadeo Lozano. 509 responses chains of students, obtained in the june 2011 application, were analyzed with a set of 45 items, through eight case studies that are showing progressive steps of calibration. Criteria of validity of items and of whole instrument were defined and utilized, to select groups of responses chains and items that were finally used in the determination of parameters which then allowed the classification of assessed students by the test.

Adaptation of a questionnaire to assess the epistemological beliefs of mathematics in secondary school teachers

The objective of the study is to determine the psychometric properties of the Epistemological Beliefs Questionnaire on Mathematics. 171 Secondary School Mathematics Teachers of the Central Region of Cuba participated. The results show acceptable internal consistency. The factorial structure of the scale revealed three major factors, consistent with the Model of the Three Constructs: beliefs about knowledge, about learning and teaching. Irregular levels in the development of the epistemological belief system about mathematics of these teachers were shown, with a tendency among naivety and sophistication poles. In conclusion, the questionnaire is useful for evaluating teacher’s beliefs about mathematics.

Meeting the Needs of Adult Learners in a Faculty of Education Careers Curriculum

Adult learners are a discrete population with specific needs and characteristics. The context of this project is a Career Services office in a Faculty of Education at a Local University [pseudonym]. The office serves a population of students from various programs within the Faculty, with the majority of students enrolled in the Bachelor of Education program. As a result of the current job market for teachers in Ontario and Canada, it is important to be able to communicate effectively with students to support them in their job searches. The purpose of this project was to identify the needs and characteristics of adult learners, and to identify ways that the current Career Services curriculum could be improved to better support adult learners. In order to engage this population of students, it is important to ensure that the content of the course addresses and meets their needs. To provide a more personalized learning environment, online resources were considered to allow students to participate more, providing a more convenient and suitable method of delivery for our intended audience, and a sample website was created to host the online resources. In addition, the entire Career Services curriculum was formalized by producing a curriculum document to outline the goals and outcomes of the program to ensure that the content will facilitate the achievement of those goals. What resulted is a hybrid, online and in-person program for Career Services, and a more robust curriculum that considers the needs of our adult learners.