Open Access. Powered by Scholars. Published by Universities.®

Education Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 23 of 23

Full-Text Articles in Education

Preservice Secondary Mathematics Teachers' Perceptions Of Proof In The Secondary Mathematics Classroom, Gregory S. C. Hine, Kristin Lesseig, Kaleinani S. Boardman Nov 2018

Preservice Secondary Mathematics Teachers' Perceptions Of Proof In The Secondary Mathematics Classroom, Gregory S. C. Hine, Kristin Lesseig, Kaleinani S. Boardman

Gregory S.C. Hine

Despite the recognized importance of mathematical proof in secondary education, there is a limited but growing body of literature indicating how preservice secondary mathematics teachers (PSMTs) view proof and the teaching of proof. The purpose of this survey research was to investigate how PSMTs in Australia and the United States perceive of proof in the context of secondary mathematics teaching and learning. PSMTs were able to outline various mathematical and pedagogical aspects of proof, including: purposes, characteristics, reasons for teaching, and imposed constraints. In addition, PSMTs attended to differing, though overlapping, features of proof when asked to determine the extent ...


Readiness To Teach Secondary Mathematics: A Study Of Pre-Service Mathematics Teachers’ Self-Perceptions, Gregory S. C. Hine, Thuan Thai Jun 2018

Readiness To Teach Secondary Mathematics: A Study Of Pre-Service Mathematics Teachers’ Self-Perceptions, Gregory S. C. Hine, Thuan Thai

Gregory S.C. Hine

This study evaluated pre-service teachers’ (PSMTs) perceptions of their own readiness to teach secondary mathematics. The study was conducted at an Australian university across two campuses, in different states. Specifically, PSMTs’ perceptions of their preparedness were explored in terms of mathematical content knowledge, pedagogical content knowledge, and mathematical knowledge for teaching. Findings indicate that while the majority of participants feel that they have the requisite content knowledge to confidently teach Lower School secondary mathematics, further training is required to develop their content and pedagogical knowledge, especially for upper secondary mathematics.


Student Leadership Program Evaluations: A Longitudinal Case Study, Gregory S. C. Hine May 2017

Student Leadership Program Evaluations: A Longitudinal Case Study, Gregory S. C. Hine

Gregory S.C. Hine


Despite the importance of adolescent leadership development, little research has critically examined how to improve school-based leadership programs. The intention of this research was to explore how one Catholic secondary school developed leadership potential in adolescents, and how such efforts could be improved in the future. Perspectives of elected student leaders from Years 10 - 12 were examined using a longitudinal case study. The primary methods for collecting data included qualitative interviewing, field notes, journalling and document analysis. Based upon the collected data, the researcher inductively conceptualised strengths and shortcomings of the leadership program proffered by the student participants. According to ...


Secondary School Mathematics And Science Matters: Academic Performance For Secondary Students Transitioning Into University Allied Health Science Courses, Gregory S. C. Hine May 2017

Secondary School Mathematics And Science Matters: Academic Performance For Secondary Students Transitioning Into University Allied Health Science Courses, Gregory S. C. Hine

Gregory S.C. Hine

The literature strongly indicates that secondary school performance is highly predictive of university performance. Moreover, scholars have identified that successful performance in university mathematics and science courses depends on the level of mathematics studied in secondary school. This paper investigated the extent to which particular mathematics and science courses (e.g. Stage 2; intermediate and Stage 3; advanced) completed at secondary school affected the Grade Point Average (GPA) of 521 first-year Health Science, Physiotherapy and Nursing students within an Australian university. Based upon a statistical analysis of student performance (secondary Australian Tertiary Admissions Ranking (ATAR) score & first-year university GPA), the ...


Why Mathematics Education Is Important For Australia's Future, Gregory S. C. Hine Dec 2016

Why Mathematics Education Is Important For Australia's Future, Gregory S. C. Hine

Gregory S.C. Hine

No abstract provided.


Investigating The Development Of Adolescent Leadership Potential: A Longitudinal Case Study, Gregory S. C. Hine Dec 2016

Investigating The Development Of Adolescent Leadership Potential: A Longitudinal Case Study, Gregory S. C. Hine

Gregory S.C. Hine


My doctoral research project explored the development of adolescent leadership potential within a secondary Catholic school in Perth, Western Australia. Previous research efforts that looked at adolescent leadership did so by examining the perspectives of adults and children using a “snapshot” approach, but the longitudinal design of this project was chosen intentionally to investigate how leadership developed over time. Located within the interpretive paradigm, a 3-year longitudinal case study framed the data collection process. Data were collected from the staff and students most closely involved in a school-based student leadership development program through the exercise of four qualitative research methods ...


Are There Any Winners In High-Stakes Testing? A Qualitative Case Study Exploring Student, Parent And Teacher Attitudes Towards Naplan Numeracy Tests In Years 3 And 5, Gregory S. C. Hine Dec 2016

Are There Any Winners In High-Stakes Testing? A Qualitative Case Study Exploring Student, Parent And Teacher Attitudes Towards Naplan Numeracy Tests In Years 3 And 5, Gregory S. C. Hine

Gregory S.C. Hine

Through the annual implementation of National Assessment Program Literacy and Numeracy (NAPLAN), testing of mathematical standards across Australia invokes questions about the impact that high-stakes testing has for the teaching and learning of mathematics. According to recent studies on high-stakes testing, the role of the teacher is instrumental in children’s achievement results. The purpose of this case study is to explore perspectives about NAPLAN from key participants at one Western Australian Primary School, namely: students, teachers, and parents. The paper will report on the extent to which instructional pedagogy at one school has been affected by the implementation of ...


Teaching Secondary Mathematics, Gregory S. C. Hine Jul 2016

Teaching Secondary Mathematics, Gregory S. C. Hine

Gregory S.C. Hine

Technology plays a crucial role in contemporary mathematics education. Teaching Secondary Mathematics covers major contemporary issues in mathematics education, as well as how to teach key mathematics concepts from the Australian Curriculum: Mathematics. It integrates digital resources via Cambridge HOTmaths (www.hotmaths.com.au), a popular, award-winning online tool with engaging multimedia that helps students and teachers learn and teach mathematical concepts. This book comes with a free twelve-month subscription to Cambridge HOTmaths. Each chapter is written by an expert in the field, and features learning outcomes, definitions of key terms and classroom activities - including HOTmaths activities and reflective questions ...


Investigating Declining Enrolments In Secondary Mathematics, Gregory S. C. Hine Jul 2016

Investigating Declining Enrolments In Secondary Mathematics, Gregory S. C. Hine

Gregory S.C. Hine

This research paper examines the perspective of the Heads of Learning Area: Mathematics (HOLAMs) within all Western Australian secondary schools as to why they felt capable students were not enrolling in the two higher-level mathematics courses of study. All HOLAMs were invited to participate in a single, anonymous online survey comprising predominantly qualitative items. Key findings indicate perceptions of student awareness that two mathematics courses are not needed for university entrance, there are other viable and less rigorous courses of study available, and students can maximise their Australian Tertiary Admissions Ranking (ATAR) score without completing these mathematics courses.


The Importance Of Action Research In Teacher Education Programs : Three Testimonies, Gregory Hine, Shane D. Lavery May 2016

The Importance Of Action Research In Teacher Education Programs : Three Testimonies, Gregory Hine, Shane D. Lavery

Gregory S.C. Hine

This paper explores the experiences of three teacher-researchers, 'Simone', 'Damian' and 'Michael', who undertook an Action Research project in their respective schools as part of their postgraduate studies. As Head of Professional Learning, Simone conducted a research project designed to investigate how to improve a Peer Observation Program at her secondary school. Damian, also a Head of Professional Learning, explored ways to improve the profile of the existing Professional Development program at his secondary school, with a particular emphasis on overhauling the Staff Mentor Program. Michael, a Head of Junior School, investigated ways to reduce the number of playground incidents ...


Improving The Mathematical Content Knowledge Of Pre-Service Middle School Teachers, Gregory Hine May 2016

Improving The Mathematical Content Knowledge Of Pre-Service Middle School Teachers, Gregory Hine

Gregory S.C. Hine

The tertiary training of pre-service teachers is pivotal in their professional preparation and formation as qualified educators. Multiple authors posit that teachers require a development of pedagogical content knowledge, or knowing a variety of ways to present mathematical content and to assist students to deepen their understanding (Chick, 2012; Shulman, 1987). Emerick, Hirsch and Berry (2003) argue that high quality teachers must possess appropriate mathematical content knowledge, and must also possess considerable background in communicating effectively to students. There are two aims of this educational research. The first is to investigate the self-perceptions of pre-service middle school teachers enrolled in ...


Action Research: Informing Professional Practice Within Schools, Gregory Hine, Shane D. Lavery May 2016

Action Research: Informing Professional Practice Within Schools, Gregory Hine, Shane D. Lavery

Gregory S.C. Hine

This research paper explores the experiences of three teacher-researchers, ‘Simone’, ‘Damian’ and ‘Michael’, who undertook an action research project in their respective schools as part of their postgraduate studies. The paper initially outlines the construct of action research in the light of its applicability to educational research. Particular reference is made to the benefits of action research for those in the teaching profession as well as to several challenges associated with action research. What then follows is the design of the case study methodology that was used to examine the individual experiences of Simone, Damian and Michael. The research used ...


Self-Perceptions Of Pre-Service Mathematics Teachers Completing A Graduate Diploma Of Secondary Education, Gregory S.C. Hine May 2016

Self-Perceptions Of Pre-Service Mathematics Teachers Completing A Graduate Diploma Of Secondary Education, Gregory S.C. Hine

Gregory S.C. Hine

This qualitative research project explored the self-perceptions of pre-service secondary mathematics teachers completing a Graduate Diploma of Secondary Education. Specifically, the researcher investigated the extent to which teachers perceived their readiness to commence a secondary mathematics teaching position. The project relied principally on the use of a single, 10-item, qualitative research instrument that was used repeatedly and flexibly over time. Participants were asked to complete two questionnaires; one was administered before and after their Teaching Internship Practicum. Responses from all participants indicated varying degrees of readiness to teach secondary mathematics. An analysis of participant responses suggests three key findings: pre-service ...


Preparing Secondary Mathematics Teachers: A Review Of Research, Gregory Hine May 2016

Preparing Secondary Mathematics Teachers: A Review Of Research, Gregory Hine

Gregory S.C. Hine

The international literature base concerning the preparation of pre-service secondary mathematics teachers has grown steadily over the past two decades, yet there appears to be no consensus on a best practice approach. A review of three research projects (2 American; 1 Australian) that focus on different aspects of secondary mathematics teacher preparation provides consideration for universitieswishing to strengthen existing programs.


Student Leadership In Catholic Schools: A Matter Of Service!, Gregory Hine, Shane D. Lavery May 2016

Student Leadership In Catholic Schools: A Matter Of Service!, Gregory Hine, Shane D. Lavery

Gregory S.C. Hine

Schools are elementary breeding grounds for student leadership development. School principals, by virtue of their standing in their school, have a pivotal role in facilitating student leadership development initiative s. In essence, they are stewards of student leadership (Lavery & Hine, 2012). This paper examines the notion of student leadership from the standpoint of eight Catholic secondary school principals. It initially explores their perception of the ethos underpinning student leadership. On this point, all principals posited that servant leadership must be the overarching model informing student leadership. The paper then investigates those ways these principals perceived student leadership functioning in their schools. That is, how was servant leadership explicitly demonstrated in the actions of the students? Investigating student leadership development is an important issue, both nationally (Bunn et al., 2010) and internationally (Line burg & Gearheart, 2008; McNae, 2011). Moreover, the notion of servant leadership as the preferred model of student leadership resonates directly with the Gospel understanding of leader ship (Mk 10:42-45; Mt 23:8-12; Lk 22:24-27; Jn 13:12-17). Student leadership formation thus forms part of the fundamental purpose of Catholic education – the evangelisation of young people.


Principals: Catalysts For Promoting Student Leadership, Shane D. Lavery, Gregory S C Hine May 2016

Principals: Catalysts For Promoting Student Leadership, Shane D. Lavery, Gregory S C Hine

Gregory S.C. Hine

The role of the principal is pivotal in the development of student leadership within schools. As well as assuming a heavy administrative workload and undertaking numerous complex and time-absorbing responsibilities, the principal plays a significant part in facilitating student leadership development initiatives—in essence, this person becomes the steward of student leadership. This stewardship most often takes one of two forms: through direct or indirect involvement. A principal advocating stewardship through direct involvement is personally engaged in leadership activities, and works closely with student leaders. By contrast, indirect involvement requires the principal to empower colleagues with the responsibility of personally ...


Exploring The Need For Improvement In A Student Leadership Program, Gregory Hine May 2016

Exploring The Need For Improvement In A Student Leadership Program, Gregory Hine

Gregory S.C. Hine

Despite the importance of adolescent leadership development, little research has examined how to improve such programs within a school context. The intention of this article is to explore how one Catholic secondary school developed leadership potential in young adolescents, and how such efforts can be refned and improved in the future. The primary methods for collecting data included focus groups interviews, researcher field notes, and researcher reflective journaling. Based upon these data, the author conceptualised the strengths and shortcomings of the program of leadership being pursued consciously or implicitly by the school, by examining the perspectives held by those students ...


Catholic School Principals: Promoting Student Leadership, Shane D. Lavery, Gregory S. C. Hine May 2016

Catholic School Principals: Promoting Student Leadership, Shane D. Lavery, Gregory S. C. Hine

Gregory S.C. Hine

Adolescents possess enormous leadership potential. They are tomorrow’s leaders in the workplace, the family, the community, and in government. Increasingly, schools have taken on the significant responsibility of nurturing leadership in young people. Schools are, as van Linden and Fertman (1998) have noted, “hotbeds of leadership development” (p. 224). This article explores the role and function of the secondary school principal in developing student leadership. Specifically, eight principals of secondary schools in Perth, Western Australia were interviewed about their vision of student leadership and what they saw their role as in promoting student leadership at their schools. As a ...


Finding Ways To Effectively Use Year 12 Achievement Data To Inform Practice In Secondary Schools, Frank Italiano, Gregory Hine May 2016

Finding Ways To Effectively Use Year 12 Achievement Data To Inform Practice In Secondary Schools, Frank Italiano, Gregory Hine

Gregory S.C. Hine

This qualitative research explored how Year 12 achievement data were used by school personnel to inform practice within seven Catholic secondary schools. Deputy Principals of Curriculum from participating schools were interviewed regarding their perceptions of the improvement of Year 12 student achievement outcomes, and their insights into how to strengthen future efforts (or achievements). Three key insights included: Communication of achievement data to key stakeholders in the school community, strategic use of achievement data by teaching staff, and leadership strategies to promote an achievement culture to the students. The findings of this research will serve to improve and strengthen practice ...


Mathematics: A Good Predictor For Success In A Health Science Degree, Gregory S. C. Hine, Ryan Anderton, Christopher Joyce Dec 2014

Mathematics: A Good Predictor For Success In A Health Science Degree, Gregory S. C. Hine, Ryan Anderton, Christopher Joyce

Gregory S.C. Hine

Research-based literature indicates that secondary school mathematics performance is highly predictive of university performance Moreover, scholars suggest that success in secondary mathematics courses translates into success in tertiary degrees where mathematics is required. This paper examines the extent to which the completion of secondary school mathematics courses is predictive of academic success for 57 first-year students enrolled in a Health Science degree at The University of Notre Dame Australia (UNDA) (Fremantle Campus). Using the University’s databases, the level of mathematics completed at secondary school was examined against gender, Tertiary Entrance Ranking (TER) and Grade Point Average (GPA). A statistical ...


The Importance Of Action Research In Teacher Education Programs, Gregory S. C. Hine Dec 2012

The Importance Of Action Research In Teacher Education Programs, Gregory S. C. Hine

Gregory S.C. Hine

Following entry into the workforce, there are limited opportunities for new graduate teachers to engage in critically reflective activities about their educative practice. In an increasingly complex and challenging profession, the need for teachers, administrators and school systems to become involved in professional development activities is ever present. Undertaking a unit in action research methodology provides those professionals working in the education system with a systematic, reflective approach to address areas of need within their respective domains. The University of Notre Dame Australia (Fremantle) offers a core unit in action research methodology as part of its eight (8) unit Master ...


Book Review: Paul Collins, Believers: Does Australian Catholicism Have A Future?, University Of New South Wales Press, 2008, Gregory Hine Jul 2011

Book Review: Paul Collins, Believers: Does Australian Catholicism Have A Future?, University Of New South Wales Press, 2008, Gregory Hine

Gregory S.C. Hine

The text Believers: Does Australian Catholicism Have a Future? explores the historical, contemporary, and present role of Roman Catholicism within Australian society. Central to six engaging, challenging, and perhaps controversial chapters is the question: “Is the Church in a state of decline within Australia?” In his book Paul Collins highlights certain aspects of Australian culture and society that have flourished due to the influence of the Church, and critically examines some factors attributed to the apparent “failure” of Catholicism to permeate this same culture fully. Despite his criticism of the localized Church, the author remains optimistic for the future of ...


Are American Schools Facing A Shortage Of Qualified Administrators?, Gregory S. C. Hine May 2005

Are American Schools Facing A Shortage Of Qualified Administrators?, Gregory S. C. Hine

Gregory S.C. Hine

Anecdotal evidence abounds regarding the shortage of principals to lead schools. Sustained attention to the research on recruitment and retention of principals reveals a fascinating development: Ample numbers of teachers have completed administrative licensure requirements and hold the credentials necessary to assume a principalship; however, few wish to apply for the position.