Education Commons^™

Function Concept: Learning From History, Ruthmae Sears, Dung Tran, Seoung Woo Lee, Amanda Thomas

Transformations

The importance of functions in school mathematics has grown tremendously within the past century. Functions have progressed from being scantly represented in school mathematics to being a core mathematical topic. C.B. Boyer (1946) acknowledged “The development of the function concept has revolutionized mathematics in much the same way as did the nearly simultaneous rise of non-Euclidean geometry. It has transformed mathematics from a pure natural science- the queen of the sciences- into something vastly large. It has established mathematics as the basis of all rigorous thinking – the logic of all possible relations” (Markovits, Eylor, & Bruckheimer, 1986, p. 18). …

Winter 2016, Transformations

Transformations

No abstract provided.

Emergent Student Practices: Unintended Consequences In A Dialogic, Collaborative Classroom, Anne E. Crampton

Journal of Educational Controversy

It’s a commonplace to decry the folly of “best practices” in education. They make many practitioners and researchers twitch, fearing that the good-- or even just decent--practice will soon be setting the tempo in the steady march toward standardization. The argument against best practices, then, is the argument against one-size-fits-all pedagogy. Instructional practices must come with a necessary humility, based on situating students within the picture, with particular attention to with histories of institutional and societal othering and marginalization. Good practices cannot be delivered or imposed, and therefore, if successful, they become suggestions or starting points carried out with greater …

When Two Wrongs Made A Right: A Classroom Scenario Of Critial Thinking As Problem Solving, Hui Fan Huang "Angie" Su, Frederick A. Ricci, Mamikon Mnatsakanian

Transformations

Educators from kindergarten through college often stress the importance of teaching critical thinking within all academic content areas (Foundation for Critical Thinking, 2007, 2013). As indicated by the position statements of the National Council of Teachers of Mathematics, high quality mathematics education before the first grade should use curriculum and teaching practices that strengthen children’s problem-solving and reasoning processes as well as representing, communicating, and connecting mathematical ideas” The joint position statement of NAEYC and the National Council of” (NAEYC & NCTM [2002] 2010, 3). Through the educational and academic institutions critical thinking is identified as an important outcome for …

Scaffolding The Mathematical “Connections”: A New Approach To Preparing Teachers For The Teaching Of Lower Secondary Algebra., Christine A. Ormond

Australian Journal of Teacher Education

This paper discusses the results of a three-year mixed methods study into the effectiveness of a mathematics education unit. This was written for both pre-service primary education students and re-training in-service teachers, to prepare them for the teaching of pre-algebra and early algebra. The unit was taught rom 2013 to 2015 inclusively in a School of Education setting of a university in an Australian capital city. Focusing on the Number and Algebra strand in the Australian Curriculum, its purpose was to better prepare some novice teachers through modelling a more coherent approach to mathematics teaching. The unit’s genesis lies in …

Unpacking The Clinical And Participatory Dimensions Of The Trump Math-Teacher-Residency-Program, Dalia Imanuel-Noy, Tili Wagner

Australian Journal of Teacher Education

Abstract: The research presents a Residency Math teacher education program that has been developed in Israel in search of transforming initial teacher preparation on the Clinical-Participatory continuum. It is a 'multi-phase' mixed-method research aiming to present the clinical and participatory dimensions of the TMR: the way in which they are reflected in the curriculum planning program, how Student Teachers (STs) in the program perceive the program's clinical and participatory dimensions and the nature of the challenges that arise in the program. Tools include: Documents of the programs; observations of the practical school experiences; A closed clinical social-interactive Questionnaire and a …

Exploring Quality Teaching In The Online Environment Using An Evidence-Based Approach, Elena Prieto-Rodriguez, Jennifer Gore, Kathryn Holmes

Australian Journal of Teacher Education

Online learning is increasingly ubiquitous in higher education. However, research regarding online teaching often focuses on the affordances of the online environment rather than on the quality of pedagogy. In this paper we consider how online learning could be enhanced using rich pedagogical models that are consistent with a wealth of existing knowledge on pedagogy for face-to-face settings. To do so, we apply an established framework, the Quality Teaching model, to explore pedagogy in the online environment and illustrate its potential benefits using a case study of 60 students in a tertiary mathematics teacher education program. We conclude that the …

Marketing An Alternate Model For Science And Mathematics Initial Teacher Education, Andrew Seen, Sharon P. Fraser, Kim Beswick, Margaret Penson, Robert Whannell

Australian Journal of Teacher Education

An innovative initial teacher education undergraduate degree has been offered for the first time in 2016 at an Australian University. The degree provides for qualification as a secondary science and mathematics teacher through the completion of a four-year integrated science, mathematics and education program of study where the synergies available through concurrent, integrated study of content and teacher pedagogy are available. The paper describes the results of the analysis of data from science and mathematics school teachers and career advisors in relation to the potential market for the program and perceived advantages and barriers to students selecting the degree.

Examination Of Learning Equity Among Prospective Science Teachers Who Are Concrete, Formal And Postformal Reasoners After An Argumentation-Based Inquiry Course, Ömer Acar, Bruce R. Patton

Australian Journal of Teacher Education

This study had two research purposes. First, we examined the scientific reasoning gains of prospective science teachers who are concrete, formal, and postformal reasoners in an argumentation-based physics inquiry instruction. Second, we sought conceptual knowledge and achievement gaps between these student groups before and after the instruction. Results were reported for 114 prospective science teachers. Results showed that concrete reasoners’ scientific reasoning gain was higher than those of formal and postformal reasoners. Moreover postformal reasoners outperformed formal and concrete reasoners on a situational conceptual knowledge subscale before and after instruction. In addition, postformal and formal reasoners scored higher than concrete …

Developing Primary Pre-Service Teachers' Mathematical Content Knowledge During Practicum Teaching, Sharyn L. Livy, Colleen Vale, Sandra Herbert

Australian Journal of Teacher Education

While it is recognised that a teachers’ mathematical content knowledge (MCK) is crucial for teaching, less is known about when different categories of MCK develop during teacher education. This paper reports on two primary pre-service teachers, whose MCK was investigated during their practicum experiences in first, second and fourth years of a four-year Bachelor of Education program. The results identify when and under what conditions pre-service teachers’ developed different categories of their MCK during practicum. Factors that assisted pre-service teachers to develop their MCK included program structure providing breadth and depth of experiences; sustained engagement for learning MCK; and …

Pre-Service Teachers And Climate Change: A Stalemate?, Helen J. Boon

Australian Journal of Teacher Education

Findings from the second phase of a study of pre-service teachers’ attitudes to environmental education and knowledge of climate change are reported in this paper. A sample of 87 pre-service teachers participated in a survey study in the last year of their Bachelor of Education degree to examine developments to their attitudes to environmental education and their knowledge of climate change as a result of training. Results showed their attitudes towards environmental education were consistently favourable, but their climate change science knowledge had not changed as a result of their participation in their degree. Data on preservice teachers’ sources of …

Science That Matters: Exploring Science Learning And Teaching In Primary Schools, Angela Fitzgerald, Kathy Smith

Australian Journal of Teacher Education

To help support primary school students to better understand why science matters, teachers must first be supported to teach science in ways that matter. In moving to this point, this paper identifies the dilemmas and tensions primary school teachers face in the teaching of science. The balance is then readdressed through a research-based examination of some of the components underpinning quality science learning and teaching practices. Stories of teachers reshaping their science teaching to enable practical applications of these elements in future practice are shared to illustrate what is possible.

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Kindergarten Children Demonstrating Numeracy Concepts Through Drawings And Explanations: Intentional Teaching Within Play-Based Learning, Philemon Chigeza, Reesa Sorin

Australian Journal of Teacher Education

Using both child-guided and adult-guided learning, Intentional Teaching in the early years can be a powerful tool for enhancing young children’s numeracy skills. As Epstein (2009) notes, this can include providing “opportunities for children to represent things by drawing, building and moving” (p. 47). This paper investigates how kindergarten (four-five year olds) children represented and demonstrated numeracy concepts through their drawings and explanations, completed for a research study that used arts-based strategies to enhance children’s environmental understanding. This research study involved kindergarten children in Australia creating and exchanging postcards (drawings and explanations) of their local environments with their peers in …

Emotional Literacy And Pedagogical Confidence In Pre-Service Science And Mathematics Teachers, Tony Yeigh, Geoff Woolcott, Jim Donnelly, Rob Whannell, Matthew Snow, Amanda Scott

Australian Journal of Teacher Education

This report details the findings from initial research seeking to improve the pedagogical confidence of pre-service STEM teachers by encouraging emotional literacy in the form of affect awareness. The report discusses how affect was measured for the study, what the affect outcomes were and how these measures are conceptually related to improving confidence for the pre-service teachers (PSTs). Findings indicate enhanced emotional feedback enabled the PSTs to analyse, understand and make use of affect information to reflect on their teaching confidence overall. Ongoing research will need to address the issue of negative affect awareness in teacher training, and strategies for …

Perceptions And Competence Of Turkish Pre-Service Science Teachers With Regard To Entrepreneurship, Isa Deveci

Australian Journal of Teacher Education

The aim of this study is both to determine the perceptions of pre-service science teachers towards the concepts of entrepreneurship and entrepreneurial characteristics and to investigate the perceptions of pre-service science teachers regarding transferring the entrepreneurial characteristics to students. This study is designed as a qualitative study and a phenomenological research approach is used. A total of 12 pre-service science teachers from grades 5 to 8 participated in the study. Data were gathered through the use of semi-structured interviews. The data were evaluated through both descriptive and content analysis. The results show that the perceptions of the 12 …

Analysis Of Turkish Prospective Science Teachers’ Perceptions On Technology In Education, Mustafa Serdar Koksal, Suleyman Yaman, Yavuz Saka

Australian Journal of Teacher Education

Purpose of this study was to determine and analyze Turkish pre-service science teachers' perceptions on technology in terms of learning style, computer competency level, possession of a computer, and gender. The study involved 264 Turkish pre-service science teachers. Analyses were conducted through four-way ANOVA, t-tests, Mann Whitney U test and one-way ANOVAs and the results showed there were one main effect for gender and one interaction effect between gender and computer competency level. The interaction effect pointed out that the male pre-service science teachers who were weak in computer competency held more positive perceptions toward instructional technology than their counterparts.

The Problem-Solving Process In A Mathematics Classroom, Enrique Ortiz

Transformations

Problem solving provides a working framework to apply mathematics, and well chosen mathematics problems provide students with the opportunity to solidify and extend what they know, and can stimulate students’ mathematics learning (NCTM, 2001). Using this framework, students may utilize ways to learn mathematics concepts and skills that are rich with meaning and connections, and pre- and in-service teachers may implement teaching and assessment procedures to establish teaching and assessment environments.

Integrating Diversity Training Into Doctoral Programs In Mathematics Education, Ruthmae Sears, Tonisha B. Lane

Transformations

There exists a need to promote diversity, equity, and inclusion in mathematics education (Wilson and Franke, 2008). Being cognizant that there are few underrepresented groups that obtain doctoral degrees in mathematical sciences or mathematics education (AMS, 2014; Reys and Dossey, 2008), focused training is needed to prepare doctoral students on diversity issues that may arise in higher education and the means by to address such issues. An advance seminar course or colloquium that would be helpful to mathematics education doctoral students who seek a career position in higher education should be entitled, “Gaining a better perspective of diversity in higher …

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Journal of the Iowa Academy of Science: JIAS

No abstract provided.

A Guided Inquiry-Based Laboratory Experiment: Synthesis And Characterization Of Various Phthiocol Complexes, Turina Jangula

The Journal of Undergraduate Research

Despite proven effectiveness of constructivist guided-inquiry based instruction for college chemistry courses, teaching in advanced chemistry courses such as inorganic chemistry remains very much traditional. This persistence of traditional instructional approaches could be attributed to the lack of inquiry-based curriculum materials for these courses. In this paper a guided-inquiry based inorganic laboratory experiment on the synthesis and characterization of phthiocol complexes with four different metals is presented along with suggestions for implementation as a laboratory activity. The experiment is unique in terms of its development based on a social constructivist framework and has student discussion and conceptual understanding of inorganic …