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1 – 10 of over 28000In March 1978 the Labour Government announced that it was to establish an Inquiry to consider the teaching of Mathematics in primary and secondary schools in England and Wales…
Abstract
In March 1978 the Labour Government announced that it was to establish an Inquiry to consider the teaching of Mathematics in primary and secondary schools in England and Wales, with particular regard to its effectiveness and intelligibility, and to the match between the mathematical curriculum and the skills required in further education, employment and adult life generally. There was a new breeze blowing from the office of the Secretary of State for Education and Science. Schools Council, the customary mouthpiece of the Department of Education and Science, had produced numerous working papers containing many suggestions about what should be taught in schools and how it should be taught.
This paper seeks to record an interview about Abbe Herzig's journey in mathematics education, career, research and practice. Abbe Herzig's passion and love for mathematics began…
Abstract
Purpose
This paper seeks to record an interview about Abbe Herzig's journey in mathematics education, career, research and practice. Abbe Herzig's passion and love for mathematics began at her childhood. Although at some points in her life, due to personal and professional reasons explained below, she left mathematics education and teaching, she returned to the mathematics discipline, not as a mathematician but as an education scholar. As such, she was able to investigate those aspects of the disciplinary culture of mathematics that turns so many women away and to help formulate ways that the mathematics community can make the subject a more inclusive endeavor. She has developed courses and programmes to help diverse populations of young people discover the relevance of mathematics and science to their interests and realities. Herzig is in the midst of a major six‐year research programme, funded by the USA National Science Foundation, concerned with women and students of colour in the postgraduate mathematical sciences.
Design/methodology/approach
This article is based on citations, discussion and interview with Abbe Herzig conducted in October 2006.
Findings
In one of her research studies, Abbe found that among mathematics faculty in one doctoral program their belief in talent moved the structure of doctoral education away from one of mentoring students to become mathematicians to one in which the faculty emphasized filtering out students not possessing the prerequisite dedication or talent. Mathematics is generally regarded as an objective field of knowledge, in which mathematicians work to discover truths about the natural world. In a more recent publication, Herzig has criticized the mathematics “pipeline” metaphor, as she believes it implies that students are passive actors in their education, reacting to “encountering a crack in the pipe”.
Originality/value
This is a unique profile of an internationally recognised scholar in the field of the diversity in mathematics. Herzig is a remarkable role model for women who wish to embark not only on mathematics education and profession, but other women too.
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The purpose of this paper is to explore the coaching and mentoring supervision of the Lesson Study to enhance preservice mathematics teachers' research competencies.
Abstract
Purpose
The purpose of this paper is to explore the coaching and mentoring supervision of the Lesson Study to enhance preservice mathematics teachers' research competencies.
Design/methodology/approach
The researcher employed a multi-case study design to describe the internship experiences of practicing coaching and mentoring supervision while preservice teachers engaged in Lesson Study. A total of six preservice teachers were the samples, and they were teaching six lessons. A classroom observation evaluation form was used to collect data from 60 observers, with a proportion of 10 observers to each sample to assess and provide feedback on the samples' research competencies. This was followed by 12 individual, semi-structured interviews using interview protocol. The participants included 60 Lesson Study group members and six mentors from the three research schools, together with the samples' internship advisors from Suratthani Rajabhat University, totaling to 72 assessors. Data were examined using the thematic analysis method.
Findings
The results of 60 observation evaluations revealed that coaching and mentoring supervision of Lesson Study can develop samples' research competencies in four capabilities, namely, instructional planning, classroom management, instructional delivery and professional development. The 12 interview results indicated that the six samples' research competencies were improved in these four aspects, namely, data collection and analysis, collaboration, reflection and pedagogical content knowledge.
Practical implications
Mentoring and coaching supervision of Lesson Study holds great potential for collaborative professional development and continuous improvement of mathematics teachers' research competencies.
Originality/value
This article suggests meaningful professional benefits of participation in mentoring and coaching supervision.
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Catarina Lucas and Joana Paulo
The purpose of this study is to present a general review that provides an overview of the concept of sustainability and the effectiveness of mathematics curricula in courses where…
Abstract
Purpose
The purpose of this study is to present a general review that provides an overview of the concept of sustainability and the effectiveness of mathematics curricula in courses where deeper work on economic and environmental sustainability has become central.
Design/methodology/approach
A qualitative methodology consisting of a review based on a pre-defined systematic method was used to exhaustively search and identify the most relevant answers to the research question: What is the role of mathematics to sustainability? To facilitate answering such a broad question, several concrete questions were formulated. Answers from published and unpublished documents were analysed. The quality of the extracted data was assessed, and the results were synthesized.
Findings
It was concluded that, on the one hand, the discipline of mathematics has much to contribute to solving the problems of sustainability; on the other hand, new mathematics is appearing stimulated by new challenges.
Social implications
This work presents social implications in an innovative way. It allows for an increase in educational sustainability by bringing the academic community closer to the business world and the challenges of society and, furthermore, by having a major impact on the motivation of teachers and students to develop cooperative work within university institutions.
Originality/value
The originality is based on an a priori analysis for the construction and implementation of didactic tools for university teacher training in the area of mathematics within the framework of sustainable development, both economically and environmentally.
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Qiaoping Zhang, Jing Guo and Yicheng Wei
This study explored the mathematical dispositions of Hong Kong mathematics pre-service teachers (PSTs). It also constructed a mathematical disposition framework comprising their…
Abstract
Purpose
This study explored the mathematical dispositions of Hong Kong mathematics pre-service teachers (PSTs). It also constructed a mathematical disposition framework comprising their affective, cognitive and functional dispositions towards the subject.
Design/methodology/approach
Thirty-one participants completed three structured metaphor tasks and one open-ended metaphor task in which they shared their views on mathematics. Responses were examined qualitatively and quantitatively. Coding based on thematic analysis was utilized to summarize the specific contents of the mathematical dispositions expressed by the PSTs, and a 5-level scoring scale was employed to evaluate the strength of the dispositions as represented by different metaphor types.
Findings
The findings suggest that the mathematical dispositions of pre-service mathematics teachers were generally positive. However, the overall level was not high. The most prevalent metaphors used to describe mathematics were “rice”, “blue” and “dog”.
Research limitations/implications
Hong Kong mathematics PSTs' mathematical dispositions are examined by using metaphorical tasks. Three categories are identified: affective, cognitive and functional dispositions towards mathematics.
Originality/value
This study has proposed an original framework for describing mathematical disposition.
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Jimmy Ezekiel Kihwele and Jamila Mkomwa
The study explored the impact of the King and Queen of Mathematics Initiative (KQMI) in promoting students’ interest in learning mathematics and improving their achievement. The…
Abstract
Purpose
The study explored the impact of the King and Queen of Mathematics Initiative (KQMI) in promoting students’ interest in learning mathematics and improving their achievement. The specific objectives of the study focused on the impact of the initiative in promoting interest in mathematics, assessing the contribution of the initiative to students’ achievements and investigating challenges encountered by the initiative.
Design/methodology/approach
The study used a case study design with a mixed-method approach. One ward secondary school was involved. The sample size was N = 79, where 77 were grade three students in a science class and two teachers. Data collection involved documentary review, observation and interviews. Data analysis employed both content analysis and a dependent t-test to determine the effect size of the initiative.
Findings
The findings revealed that KQMI had a significant impact on improving performance in mathematics among students (t (71) = −7.917, p < 0.05). The study also showed that male students improved their performance more than their counterparts throughout the KQMI. The mathematics teacher revealed that students still need assistance to solve mathematical questions with different techniques to develop the expected competencies.
Research limitations/implications
The initiative was conducted only in one school, limiting the findings’ generalization. Also, the innovation faced different challenges, such as accessing adequate resources and students with little knowledge of mathematics, which the initiative aimed to address.
Practical implications
Pedagogical innovations enhance the promotion of students’ interest in learning mathematics and hence improve their performance. Also, through pedagogical innovations, teachers improve their teaching skills and practices from students’ feedback.
Originality/value
The KQMI is a new pedagogical innovation modified from the existing innovations such as game-based method, task design, mobile learning and mathematics island.
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Muhammad Mujtaba Asad, Sidra Khan, Fahad Sherwani and Jyoti Sekhar Banerjee
Internet technology in the classroom has become the primary demand of every student in this era. Moreover, information and communication technology aids students' learning…
Abstract
Purpose
Internet technology in the classroom has become the primary demand of every student in this era. Moreover, information and communication technology aids students' learning involvement and progress by providing learning assistance by improved instructor, pupil and interactions with fellows. Using an asynchronous Web-based learning environment (WBLE) is one way to manage such assistance. This study aims to identify to what extent the asynchronous WBLE affects students' interest and motivation in learning mathematics at Shah Abdul Latif University (SALU), Khairpur.
Design/methodology/approach
This research uses a survey research design under a quantitative approach. Therefore, data are collected through a questionnaire about students' motivation and interest in learning mathematics via asynchronous WBLE. Data are collected from the students of four departments (BEd, BSCS, BBA, BS Mathematics) of SALU, Khairpur. However, as the nature of this study is quantitative, both descriptive and inferential statistics were used in the results and discussion, and a one-way ANOVA test was used. The Cronbach alpha test was also used to assess the item's reliability, and the items were found to be acceptable.
Findings
The findings of this study discovered that asynchronous WBLE has a significant impact on students' intrinsic, extrinsic and interest levels. The results indicated that there is a positive impact based on the level of mean range of asynchronous WBLE on mathematics students.
Research limitations/implications
The outcome of this study can be used as a guideline to understand and further plan or develop educational interventions based on the level of motivation and interest of mathematics students towards asynchronous WBLE in other contexts.
Originality/value
This is first study of its nature in the context of Khairpur district of Sindh that emphasizes on the motivation and interest of mathematics students toward asynchronous WBLE.
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Anitha D. and Kavitha D.
The purpose of this research study is to explore simple collaborative technique for teaching mathematics and thus improving the problem solving skills of the students. Better…
Abstract
Purpose
The purpose of this research study is to explore simple collaborative technique for teaching mathematics and thus improving the problem solving skills of the students. Better pedagogic activities are required to motivate the students to perceive mathematics as a subject that stimulates problem-solving skills required for engineers.
Design/methodology/approach
This paper presents a research study on the application of technology-supported collaborative learning in improving the problem-solving skills of first-year engineering students in a mathematics course. The experiment was conducted in a mathematics course “Engineering Calculus” with 286 first-year engineering students in two groups: experimental group (N = 60) and controlled group (N = 226). The academic performance of the students was measured and analyzed with statistical techniques.
Findings
From the results obtained, it was found that the academic performance of the experimental group was better than the controlled group. Also, interest shown by the students in the topic that dealt with collaborative learning was more than in other topics taught using conventional teaching methods.
Research limitations/implications
The teachers are required to find effective pedagogical activities to improve the problem-solving skills in mathematics. The research work proposes a collaborative method in mathematics for attaining higher cognitive level in an entry level engineering course. The limitation of this study lies in group formation techniques and the grading policy which deals only with individual assessment scores.
Practical implications
Practice of collaborative learning is made easy with simple technology. A clear strategy for the conduct of collaborative learning sessions has been presented. The solutions recommended are practically feasible and does not require any special infrastructure or specific training.
Social implications
Using technology in mathematics teaching may not be very easy for all teachers. Especially, for an undergraduate engineering fresher, mathematics may not be a very easy task. This work shall bridge the gap with simple technology-assisted collaborative learning. The teachers need not spend too much time and effort in learning technology for mathematics teaching. The effect of this learning is significant in terms of the performance and satisfaction evaluation.
Originality/value
This work presents a systematic implementation of collaborative learning that shall result in improved problem-solving skills and engaging learning sessions. The statistical analysis methods and the visualization of obtained results shall help in understanding the implications of the presented work. Practice of collaborative learning is made easy with simple technology. The solutions recommended are practically feasible and does not require any special infrastructure or specific training.
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Po Tsai and Panayiotis Antoniou
This paper aims to describe the findings of a study investigating the relationships between teacher attitudes to teaching mathematics, teacher self-efficacy, student achievement…
Abstract
Purpose
This paper aims to describe the findings of a study investigating the relationships between teacher attitudes to teaching mathematics, teacher self-efficacy, student achievement and teacher job satisfaction in Taiwan.
Design/methodology/approach
Data were collected from 110 fifth grade primary school teachers and their students (n = 2,334) between 10 and 10 years old. A teacher questionnaire and a criterion-reference test in mathematics were distributed during the academic year 2016–2017. The data were analysed using confirmatory factor analysis and stepwise linear regression.
Findings
The results revealed that teacher attitudes to teaching mathematics, efficacy in classroom environment and student achievement in mathematics could, to some extent, explain variations in teacher job satisfaction. Of all the variables, teacher attitudes to teaching mathematics explained the largest portion of the variance in teacher job satisfaction.
Originality/value
These findings support the proposition that teacher attitudes to teaching mathematics affect teacher job satisfaction, which is in turn, translatable into enhanced teacher effectiveness. It is important to note that this study explores the impact of student achievement on teacher job satisfaction (and not the other way round), which is a relationship that remains under-researched and needs further investigation. Implications of the findings are discussed, and suggestions for further studies are provided.
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This study aims to describe the feasibility of designing and fostering pre-service teacher inquiry at the intersection of community and disciplinary engagement. Mapping My Math…
Abstract
Purpose
This study aims to describe the feasibility of designing and fostering pre-service teacher inquiry at the intersection of community and disciplinary engagement. Mapping My Math (MMM), a game-based and mobile learning activity, guided pre-service teachers in playfully exploring mathematics featured in the everyday activities of people and places and creatively representing this inquiry with digital media.
Design/methodology/approach
This study draws from design-based research that examined the role of place, digital media and mobility in mathematics teacher education. Design narrative methods describe how MMM was created, implemented and refined to support disciplinary inquiry across settings given the evolution of tools, activities and practices. The study and design narrative address the following question: How can game-based and mobile learning be designed to support pre-service teachers’ disciplinary inquiry of everyday mathematics?
Findings
Findings shared in this study’s design narrative attend to the quality of pre-service teachers’ inquiry-as-play, or expressive mobility situated amonglearners’ social and material relations, disciplinary concepts and the built environment.
Research limitations/implications
Implications from this study concern the role of mobile learning in mathematics teacher education to connect school, community and online settings; the potential of gameful design to impact pre-service teacher learning across settings; and the importance of fostering disciplinary inquiry whereby pre-service teachers can “navigate” their own learning.
Originality/value
Game-based and mobile learning designs, like MMM, can create the conditions for cross-setting mobility as generative of inquiry-as-play in mathematics teacher education. MMM encouraged pre-service teachers to playfully leverage disciplinary practices that shaped new relationships with mathematics, their city and the mathematics of place and community.
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