Student views of computer based-mathematics in the middle years : does gender make a difference?

How the use of computers in mathematics classrooms was viewed by students in two middle years mathematics classrooms was the focus of the research described in this paper. The primary data sources consisted of questionnaires, classroom observations supported by videotaping of mathematics lessons, and interviews with two girls and two boys from each class. Thus both qualitative and quantitative methods were used. Girls viewed the computer-based lessons less favourably than did boys. In general, the boys were likely to believe that computers contributed to their experiencing pleasure in these lessons, and to making mathematics more relevant to them. Girls were typically more concerned about whether computers facilitated learning and enabled success in mathematics. The attitudes of students to computer-based mathematics were related to their views of computers.

Variables influencing the mathematics performance of first-year tertiary students : a case study

The need to understand which factors most strongly affect performance in first-year mathematics programs at Khon Kaen University (KKU), in North Eastern Thailand, provided the main focus of the study which is described. First-year mathematics students in the 1990-1991 academic year, from four KKU faculty groups (Medicine and Nursing, Agriculture, Science and Education, and Engineering) were involved in this study. Research literatures addressing variables which were likely to influence performance in early tertiary mathematical study, and variables associated with difficulties in learning mathematics at the transition from upper secondary school to tertiary studies, were reviewed. The first major aim of the study was to identify the variables which were good predictors of first-year mathematics performance at KKU. Results from stepwise multiple regression analyses indicated that the following predictor variables were statistically significant and entered the regression equations for most Faculty groups: School Mathematics Achievement, Self-Esteem, Study Habits in Mathematics, and Faculty of Study. Other predictor variables that sometimes entered regression equations (depending on the Faculty group) were Socio-Economic-Status, Mathematics Language Competence, Mathematics Confidence, Attitude Towards Mathematics, and Gender. Depending on Faculty group, the statistically significant variables accounted for between 11% and 74% of scores on fist-year KKU mathematics examinations. The predictor variables contributed much more to the variance of scores on first-semester mathematics examinations than to the variance of scores on second-semester mathematics examinations. It was also found that scores on the Direct Entry Examination Mathematics test (administered by KKU) and the School Mathematics Achievement test (developed and administered by the author) had stronger correlations with first-year KKU mathematics performance than did scores on the National Entry Examination Mathematics tests (administered by the Thai Ministry of University Affairs). Scores on the three pre-university mathematics achievement test instruments were better predictors of first-semester mathematics performance than of second-semester mathematics performance. It was found that the mean Mathematics Confidence of male students was statistically significantly higher than that of female students, but there were no statistically significant gender differences in Mathematics Misplaced Confidence. Only about 30% of the main sample ( 30% of the male and 30% of the female sample groups) had appropriate confidence in mathematics, that is, they thought their answers were correct when they were, in fact, correct, and they thought they were wrong when they were, in fact, incorrect. So far as Faculty performance differences were concerned, Engineering students had the highest Mathematics Confidence scores, followed by the Medicine and Nursing group of students and the Science and Education group students. Agriculture students had the lowest mean Mathematics Confidence score. No statistically significant differences occurred in Mathematics Misplaced Confidence between different Faculty groups. The second main aim of the study was to investigate why many first-year students experienced difficulties in coping with their mathematics units. A small group of senior secondary mathematics teachers, university mathematics lecturers, and first-year mathematics students were interviewed during the first semester of the 1990-1991 academic year. Interviews were conducted by the author according to a questionnaire format, and were aimed at identifying factors causing difficulty in the transition from senior secondary to university mathematical study. The analysis of the quantitative data together with the interview data indicated that the major sources of difficulty were associated with: (a) students' mathematical abilities; (b) curriculum content; (c) course organisation; (d) students' study habits; (e) instructional styles; and (f) assessment procedures. The results of the investigation are discussed in the light of the relevant literature and related research. The study concludes with recommendations which are addressed to mathematics teachers and education administrators in senior secondary schools in Thailand, to the Thai Ministry of Education, and to the KKU Department of Mathematics.

Investigation into the skill levels achieved by mathematics students in the V.C.E. and the H.S.C. mathematics courses

This study examines whether recent changes to the mathematics courses offered in the final year of secondary school (Year 12) in the state of Victoria, Australia have affected the learning outcomes of students in terms of then: skill levels in algebra, calculus and problem solving; and in terms of their preparation for a tertiary mathematics unit. The impact of these changes on the transition from secondary to tertiary mathematics is also considered. A comparison is made between students who attempted a first year mathematics unit at the University of Melbourne (U. of M.) having completed the new V.C.E. (Victorian Certificate of Education) mathematics courses and mathematics courses from the previous H.S.C. (Higher School Certificate) system. The comparison involves the use of tests administered upon entrance to a tertiary mathematics unit at the U. of M., and questionnaires. In 1991, V.C.E, students and H.S.C. students attempted the same mathematics test at the U. of M. and their results were compared. In 1992, the tests were attempted by V.C.E. students only. To compare new V.C.E. students and H.S.C. students, questions on the 1991 test were matched with similar questions on the 1992 tests and a panel of experts determined what the H.S.C. students who attempted the 1991 test would have been expected to average on these matched questions on the 1992 tests had they attempted them. These expected average scores were then compared with the actual scores of the new V.C.E. students. The scores of the groups were scaled when necessary. Questionnaires were administered to 1991 U. of M, mathematics students who were part of the V.C.E. pilot group in 1990, secondary mathematics educators, tertiary mathematics educators, and 1991 V.C.E. (1992 U. of M.) students. The mathematical misconceptions exhibited by new V.C.E. students are discussed and their frequencies stated. The research indicates that the new V.C.E. mathematics courses have provided the V.C.E. mathematics students in this study with significantly lower skill levels and a significantly poorer preparation for a tertiary mathematics unit than those which were previously provided by the H.S.C. mathematics courses.

Subject cultures and pedagogy : comparing mathematics and science

This research found that a teacher is both a member of a culture and an individual, building practice within parameters set by a dynamic and multifaceted subject culture. Feelings of competence and confidence grow as an aesthetic understanding of what it means to know, teach, and appreciate a subject.

An investigation of middle secondary students' mathematical conceptions of rate

This study identified four educationally critical aspects of ‘rate’ through analysis of phenomenographic, video-recorded interviews with Year 10 students. Further analysis indicated understandings in one representation or context were not necessarily transferable.

Web-based mathematics : some 'dos' and 'don’ts'

This case study describes an “out of field” teacher’s use of the Internet to teach a range of mathematical topics in a modified Year 8 mathematics class. It highlights the importance of three factors for implementing a discernible web-based teaching strategy: appropriate choice of web objects,effective “virtual” pedagogy, and technical support and expertise. Based on these findings, a framework is suggested for constructing an effective teaching strategy to support the use of virtual resources in the actual mathematics classroom.

Sex differences in achievement in year 12 mathematics and non-routine problem solving

In 1991 all Victorian year 12 students undertook the new Victorian Certificate of Education Mathematics Study designed by the Victorian Curriculum and Assessment Board. This paper presents the results of a study into sex difference in achievement in the new VCE Mathematics study in Victoria. An important goal of the study designers was to encourage more equal participation in senior secondary mathematics by females and males and to include assessment of mathematical skills previously not assessed in a year 12 course in Victoria. These new tasks could conceivably change the degree and direction of sex difference in achievement in senior secondary mathematics.

Geeks and nerds : computers, gender and the mathematics classroom

This paper presents some of the findings of a pilot study concerning gender differences in behaviour in a Year 10 co- educational secondary mathematics classroom that used computers. Analysis of interactions between students and the teacher and engagement with the task, the computer and the mathematics suggest some evidence of gender difference. A number of factors were hypothesised as relating to behaviour and this paper discusses the preliminary findings in relation to students' experience with computers and their style of interaction with computers.

The "strugglers" in selected computer based mathematics classrooms

In this paper, the experiences of lower achieving mathematics students in two secondary mathematics classrooms in which computers were regularly used are described. A year 8 and a year 9 mathematics class from one secondary school participated in the ethnographic study. The results show that in these two classrooms the learning relationships and power relationships did not, in general, support the learning and engagement of lower achievers in mathematics. Research into computer based teaching methods that engage low achieving students in computer based mathematics is needed.

Equity and technology : a case study

I am researching equitable and socially just teaching practices when using technology for the mathematical learning of disadvantaged and marginalised students in junior secondary school. Using data gathered from teacher interviews and a meeting of teachers, I present a case study of one teachers’ practice. The case suggests that there are some equity considerations for the use of an integrated project approach to teaching mathematics and that whole class problem solving with technology can provide access to mathematical ideas when students have limited access or skills with technology.

Lesson study - Could it work for you?

1. Introduction Japanese Lesson Study first came to world-wide attention through Makoto Yoshida’s doctoral dissertation (Yoshida, 1999; Fernandez & Yoshida, 2004) and Stigler and Hiebert’s (1999) accounts of Lesson Study based on the Third International Mathematics and Science Study (TIMSS). By 2004, Lesson Study was taking place in the USA in at least 32 states and 150 lesson study clusters.Lewis (2002) describes the Lesson Study Cycle as having four phases: goal-setting and planning – including the development of the Lesson Plan; teaching the “research lesson” – enabling the lesson observation; the post-lesson discussion; and the resulting consolidation of learning, which has many far-reaching consequences (see, for example, Lewis & Tsuchida, 1998). It could be said that research lessons make participants and observers think quite profoundly about specific and general aspects of teaching.In Japan, Lesson Study occurs across many curriculum areas, mainly at the elementary school level, and to a lesser extent junior secondary. In mathematics, the research lesson usually follows the typical lesson pattern for a Japanese “structured problem solving lesson”.Major characteristics of such lessons include: the hatsumon – the thought-provoking question or problem that students engage with and that is the key to students’ mathematical development and mathematical connections; kikan-shido – sometimes referred to as the “purposeful scanning” that takes place while students are working individually or in groups, which allows teachers not only to monitor students’ strategies but also to orchestrate their reports on their solutions in the neriage phase of the lesson; neriage – the “kneading” stage of alesson that allows students to compare, polish and refine solutions through the teacher’s orchestration and probing of student solutions; and matome — the summing up and careful review of students’ discussion in order to guide them to higher levels of mathematical sophistication (see, for example, Shimizu, 1999).

Accelerating mathematics learners : what counts?

This article elaborates on my statements quoted in The Age October 2014 article 'More students take on VCE mathematics subject early'. (http://theage.com.au/victoria/more-students-take-on-vce-subjects-early-20141024-11b4rv.html). This article was about accelerating mathematics students by allowing them to take year 11 Mathematics subjects in year 10, and year 12 Mathematics subjects in year 11. My statements were 'Although 'taking on Year 12 subjects early could help students prepare for the workload once they reach their final year ... based on my research and teaching experience, you don't take on early those subjects that are going to be key to your university studies' because 'going early means you are going to rely much more heavily on learning things faster.

Writing, English and digital culture

In their out-of-school lives, young people are immersed in rich and complex digital worlds, characterised by image and multimodality. Computer games in particular present young people with specific narrative genres and textual forms: contexts in which meaning is constructed interactively and drawing explicitly on a wide range of design elements including sound, image, gesture, symbol, colour and so on. As English curriculum seeks to address the changing nature of literacy, challenges are raised, particularly with respect to the ways in which multimodal texts might be incorporated alongside print based forms of literacy. Questions focus both on the ways in which such texts might be created, studied and assessed, and on the implications of the introduction of such texts for print based literacies.

This paper explores intersections between writing and computer games within the English classroom, from a number of junior secondary examples. In particular it considers tensions that arise when young people use writing to recreate or respond to multimodal forms. It explores ways in which writing is stretched and challenged by enterprises such as these, ways in which students utilise and adapt print based modes to represent multimodal forms of narrative, and how teachers and curriculum might respond. Consideration is given to the challenges posed to teaching and assessment by bringing writing to bear as the medium of analysis of, and response to, multimodal texts.

Writing, digital culture and English curriculum

In their out-of-school lives, young people are immersed in rich and complex digital worlds, characterised by image and multimodality. Computer games in particular present young people with specific narrative genres and textual forms: contexts in which meaning is constructed interactively and drawing explicitly on a wide range of design elements including sound, image, gesture, symbol, colour and so on. As English curriculum seeks to address the changing nature of literacy, challenges are raised, particularly with respect to the ways in which multimodal texts might be incorporated alongside print based forms of literacy. Questions focus both on the ways in which such texts might be created, studied and assessed, and on the implications of the introduction of such texts for print based literacies. This paper explores intersections between writing and computer games within the English classroom, from a number of junior secondary examples. In particular it considers tensions that arise when young people use writing to recreate or respond to multimodal forms. It explores ways in which writing is stretched and challenged by enterprises such as these, ways in which students utilise and adapt print based modes to represent multimodal forms of narrative, and how teachers and curriculum might respond. Consideration is given to the challenges posed to teaching and assessment by bringing writing to bear as the medium of analysis of, and response to, multimodal texts.

Increasing access to mathematical thinking

The authors describe their current project that examines ways to maximise learning opportunities for students in upper primary and lower secondary mathematics classes. There are two aspects to the project: the type of tasks posed, and particularly ways to assist students experiencing difficulty with those tasks; and the steps that teachers can take to overcome structural barriers to mathematical learning by being explicit about classroom processes.