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Teaching Secondary Mathematics 2nd Revised edition [Minkštas viršelis]

(University of Sydney), (University of Tasmania), (University of New England, Australia), (Macquarie University, Sydney), (University of South Australia), (University of Southern Queensland), (Notre Dame University, Australia)
  • Formatas: Paperback / softback, 440 pages, aukštis x plotis x storis: 253x203x17 mm, weight: 903 g, Worked examples or Exercises
  • Išleidimo metai: 24-Sep-2021
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1108984681
  • ISBN-13: 9781108984683
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 440 pages, aukštis x plotis x storis: 253x203x17 mm, weight: 903 g, Worked examples or Exercises
  • Išleidimo metai: 24-Sep-2021
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1108984681
  • ISBN-13: 9781108984683
Kitos knygos pagal šią temą:
Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers. Part I covers contemporary issues in learning and teaching mathematics. Part II explores key mathematics content including statistics and probability, measurement and geometry, and number and algebra.

Secondary mathematics teachers working in the Australian education sector are required to plan lessons that engage with students of different genders, cultures and levels of literacy and numeracy. Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers to help preservice teachers develop lesson plans that resonate with students. This edition has been thoroughly revised and features a new chapter on supporting Aboriginal and Torres Strait Islander students by incorporating Aboriginal and Torres Strait Islander cultures and ways of knowing into lessons. Chapter content is supported by new features including short-answer questions, opportunities for reflection and in-class activities. Further resources, additional activities, and audio and visual recordings of mathematical problems are also available for students on the book's companion website. Teaching Secondary Mathematics is the essential guide for preservice mathematics teachers who want to understand the complex and ever-changing Australian education landscape.

Daugiau informacijos

Teaching Secondary Mathematics is the essential guide for preservice mathematics teachers in Australia.
About the authors x
Acknowledgements xii
Guide to online resources xiv
Introduction: What is mathematics? 1(1)
Gregory Hine
Mathematics as a discipline field
2(1)
Teaching mathematics within secondary school education
2(1)
Creating mathematically powerful classrooms
3(1)
What this second edition offers preservice secondary mathematics teachers
3(2)
References
5(2)
PART 1 CONTEMPORARY ISSUES IN LEARNING AND TEACHING MATHEMATICS
7(1)
1 The learning and teaching of mathematics
8(1)
Michael Cavanagh
Introduction
9(1)
Mathematics for the twenty-first century
9(6)
Theories about how students learn mathematics
15(12)
Student engagement in learning mathematics
27(3)
Conclusion
30(1)
Bringing it together
31(1)
References
31(4)
2 Language and mathematics
35(26)
Linda Galligan
Introduction
36(1)
Why language is important
37(2)
The mathematics register
39(10)
Language in the classroom
49(7)
Conclusion
56(1)
Bringing it together
56(1)
References
57(4)
3 Making mathematical connections
61(28)
Gregory Hine
Introduction
62(1)
The importance of making mathematical connections
62(3)
What are mathematical connections?
65(4)
Teachers' practices in promoting mathematical connections
69(4)
Science, technology, engineering and mathematics (STEM) education
73(4)
Putting activities into practice
77(6)
Conclusion
83(1)
Bringing it together
83(1)
References
84(5)
4 Using technology in mathematics education
89(23)
Bruce White
Introduction
90(1)
Why use technology in the teaching and learning of mathematics?
90(5)
Mathematics software
95(7)
Devices used for teaching, learning and doing mathematics
102(3)
Mathematics online
105(2)
Conclusion
107(1)
Bringing it together
108(1)
References
108(4)
5 Inquiry-based learning
112(24)
Judy Anderson
Introduction
113(1)
Student-centred learning in mathematics classrooms
114(6)
Teaching strategies that foster student-centred approaches
120(4)
Problem solving and modelling in mathematics classrooms
124(3)
Inquiry-based learning in mathematics classrooms
127(3)
Collaborative and cooperative learning
130(3)
Conclusion
133(1)
Bringing it together
133(1)
References
133(3)
6 Gender, culture and diversity in the mathematics classroom
136(31)
Gregory Hine
Introduction
137(1)
Gender, culture and diversity in the Australian Curriculum
137(1)
Gender in the secondary mathematics classroom
138(9)
Culture in the secondary mathematics classroom
147(5)
Special needs learners in the secondary mathematics classroom
152(9)
Conclusion
161(1)
Bringing it together
161(1)
References
162(5)
7 Aboriginal and Torres Strait Islander learners and mathematics
167(25)
Judy Anderson
Introduction
168(2)
Culturally responsive teaching and cultural competence
170(4)
Aboriginal and Torres Strait Islander students as mathematics learners
174(5)
Mathematics programs designed to support the learning of Aboriginal and Torres Strait Islander students
179(6)
The Australian Curriculum cross-curriculum priority: Aboriginal and Torres Strait Islander Histories and Cultures
185(2)
Conclusion
187(1)
Bringing it together
188(1)
References
188(4)
8 Assessing mathematics learning
192(29)
Gregory Hine
Introduction
193(1)
Why assess?
193(2)
What is assessment?
195(11)
Guidelines for creating assessments in secondary mathematics
206(7)
Providing feedback to students
213(2)
Conclusion
215(1)
Bringing it together
216(1)
References
216(5)
PART 2 LEARNING AND TEACHING KEY MATHEMATICS CONTENT
221(1)
9 The Mathematics Curriculum: a guide for teaching and learning
222(1)
Judy Anderson
Introduction
223(2)
The structure of the Australian Curriculum: Mathematics F-10
225(5)
The proficiency strands of the Australian Curriculum: Mathematics
230(2)
General capabilities and cross-curriculum priorities
232(3)
Planning for teaching and learning
235(7)
Conclusion
242(1)
Bringing it together
243(1)
References
243(3)
10 Number and algebra
246(29)
Bina H. Nau
Introduction
247(1)
The unknown, pronumeral and variable
247(3)
Algebraic expression problems
250(3)
Linear equations
253(4)
Teaching and learning linear equations in a hierarchical level of complexity
257(5)
Algebraic problem solving in real-life contexts
262(7)
Transferability of algebraic problem solving to the science curriculum
269(2)
Conclusion
271(1)
Bringing it together
271(1)
Acknowledgements
272(1)
References
272(3)
11 Measurement and geometry
275(26)
Gregory Hine
Introduction
276(1)
The importance of learning geometry
277(1)
The importance of learning measurement
278(1)
The concept of geometric proof
278(8)
The concept of transformation
286(8)
Using technology in measurement and geometry
294(3)
Conclusion
297(1)
Bringing it together
297(1)
References
298(3)
12 Statistics and probability
301(28)
Robyn Reaburn
Introduction
302(1)
Asking the question
302(1)
Data collection: sampling
303(1)
Data reduction
304(7)
Data representation
311(5)
Probability
316(6)
The final process in statistical investigations: inference
322(3)
Conclusion
325(1)
Bringing it together
325(2)
References
327(2)
13 Functions and calculus
329(25)
Robyn Reaburn
Introduction
330(1)
The most important concept of them all: the function
330(3)
Calculus
333(4)
Derivatives
337(9)
Reversing the process: anti-differentiation and integration
346(3)
Connecting it all: part 1 of the Fundamental Theorem of Calculus
349(1)
Conclusion
350(1)
Bringing it together
351(1)
References
352(2)
Index 354
Gregory Hine is a Senior Lecturer at the University of Notre Dame Australia in Fremantle. He previously taught in Australia and the United States predominantly in the areas of mathematics and science to middle and high school students for fourteen years. Greg completed both of his Master of Education degrees at The University of Notre Dame, South Bend, Indiana. In 2011 he completed his doctoral studies at Notre Dame's Fremantle Campus, and was appointed to a full-time academic faculty position in the School of Education. Greg teaches into the undergraduate and postgraduate degree programs, predominantly in secondary mathematics education, and educational action research. His areas of scholarly interest are professional noticing in the mathematics classroom, and the training of pre-service and in-service mathematics teachers. In 2019 Greg was awarded the Vice Chancellor's Award for Excellence in Undergraduate Education (Secondary Mathematics). Judy Anderson is Associate Professor in mathematics education, former Director of the STEM Teacher Enrichment Academy at the University of Sydney. In her role as secondary mathematics curriculum coordinator, Judy has been teaching and researching at the University of Sydney for eighteen years. Prior to that, she worked at the Board of Studies NSW as a Senior Curriculum Officer (K-12), responsible for the development of the mathematics syllabuses for NSW schools. As a past President of the Australian Association of Mathematics Teachers (AAMT) and a member of the Executive Committee from 2007 to 2010, she provided leadership and ongoing support for teachers of mathematics throughout Australia. This was a critical role at a time of national curriculum development in Australia and the development of national testing regimes. She is currently the Secretary of the International Group for the Psychology of Mathematics Education (PME). Robyn Reaburn is a lecturer in mathematics education at the University of Tasmania in Australia, and was joint recipient of a Federal Government award for Teaching Excellence from the Office for Learning and Teaching. Prior to her current role at the University, she taught Mathematics and Science at secondary schools and at TAFE. She has also taught statistics at the University of Tasmania for thirteen years. Robyn's main research interests include students' and instructors' understanding of probability and statistics and the preparation of future mathematics teachers. Michael Cavanagh is a former secondary mathematics teacher and is currently the Director of Learning and Teaching in the School of Education at Macquarie University. He is an associate professor in mathematics education and a Senior Fellow of the Higher Education Academy. Michael is a recipient of an Australian Learning and Teaching Council Citation for Outstanding Contribution to Student Learning and an Outstanding Professional Service Award from the Professional Teachers' Council of NSW for his work as the editor of Reflections, the journal of the Mathematical Association of NSW. Linda Galligan is an Associate Professor with the School of Sciences at USQ and Head of School. She teaches courses on Mathematics for Teachers and has strong links with schools providing mathematics programs and activities for students and teachers. Her research includes language and mathematics, and students' and lecturers' perceptions of student preparation for numeracy demands of university. Recently her focus on research has been on student engagement in online learning, the use of Tablet Technology to effectively teach mathematics, and using modelling to improve pre-service teachers' deep understanding of mathematics. Bing H. Ngu is a senior lecturer in mathematics education at the University of New England. She has over fifteen years of mathematics and science teaching experience in secondary schools in in Australia as well as abroad. Her current research is mainly shaped by her previous mathematics teaching experience. Specifically, based on cognitive load theory and learning by analogy theory, she has conducted experimental studies with secondary students to enhance learning to solve linear equations as well as percentage problems. She has also conducted cross-cultural mathematics education research with secondary students between Asian countries and Australia. Her research has made a strong impact on pedagogical approaches, informing the development of various pre-service teacher education units that she currently teaches at the University of New of New England. Bruce White has been lecturing at the University of South Australia in mathematics and science teacher education since 1990. His teaching background is Secondary (years 8-12) mathematics and science. He is a member of the Mathematics Education Research Group of Australasia and researches the use of technology in the teaching and learning of mathematics.