A Bibliography for a Christian Approach to Mathematics version 3.0

8/3/2019 A Bibliography for a Christian Approach to Mathematics version 3.0

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A bibliography for a Christian approach to

mathematics

Steve Bishop

Updated Dec 2011Version 1.0 (1997) appeared in P. MacKenzie Entry Points for Christian Reflection within

Education(London: CARE, 1997)

Version 1.1 appeared here



Bibliographies

Gene B. Chase and Calvin Jongsma Bibliography of Christianity and mathematics

1910-1983 (Dordt, Iowa: Dort College, 1983)An extensive annotated bibliography of papers and books dealing with

Christian approaches and attitudes to maths.

Journals

Journal of the ACMS

The journal has many useful papers including papers presented at conferences:

Robert Brabenec, The Historical Shaping of the Foundations of Mathematics

Arthur Holmes, Wanted: Christian Perspectives in the Philosophy of

Mathematics

Paul Zwier, Making Curriculum Decisions and the Nature of Mathematics

Vernon Poythress, Science as AllegoryVernon Poythress, Mathematics as Rhyme

Johan deKlerk, Can Mathematics be Taught in a Christian Way?

David Neuhouser, Lewis Carroll: Author, Mathematician, and Christian

David Stucki, Mathematics as Worship

Johan deKlerk, A Christian Perspective on Mathematics - History of

Mathematics and Study Guides

Books

Robert L. Brabenec A Christian Perspective on the Foundations ofMathematics(Wheaton College, 1977)

Brabenec has edited a number of 'Mathematics from a Christian Perspective'

Conference Proceedings, of which this is the first. They contain a wealth of

useful information of integrating math and a Christian worldview, however, they

are concerned primarily with higher education. Many of the articles are now

available on-line here.

James Bradley and Russell Howell Mathematics Through the Eyes of FaithHarper

One/ CCCU, 2011.

See the review here by Josh Wilkerson

John Byl The Divine Challenge: on Matter, Mind, Math and Meaning(Edinburgh:

Banner of Truth Trust, 2004)

Byl's bibliography and biography is here


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Charis Mathematics Project Charis Mathematics(Units 1-9; Units 10-19; A1-A6)

(John Shortt, director) (editors John Shortt and John Westwell) (Nottingham:

The Stapleford Centre, 1996 and 1997)

Photocopiable materials for bringing out the 'spiritual and moral' aspects of

mathematics at the secondary school level; written by Christian teachers of

mathematics.Roy A. ClouserThe Myth of Religious Neutrality: A Essay on the Hidden Role of

Religious Belief in Theories(Notre Dame: University of Notre Dame, 1991; 2nd

edn 2005)

Chapter 7 looks at some theories in mathematics (number-world theory; J. S.

Mill; Bertrand Russell; and John Dewey) and shows how they all depend on

divinising certain aspects of creation.

Andrew M. Hartley Christian and Humanist Foundations for Statistical

Inference(Resource Publications, Wipf and Stock, 2008)

See my PSCF review here. Other reviews here

Looks at four of the dominant paradigms in statistics and compares them with a

Christian worldview

James Nikel Mathematics: Is God Silent?(Vallecito, CA: Ross House Books, 1990;

2nd edn 2000) website resources here

Written to show that God is not! Contains many useful examples.

Russell W. Howell and James Bradley (ed.) Mathematics in a Postmodern Age: A

Christian Perspective(Eerdmans, Grand Rapids, 2001)

Examines the nature of mathematics, the influence of maths and faith

perspectives in mathematics from a Christian perspective.

Calvin Jongsma and Trudy Baker The Shape and Number of Things: An Integrated

Math Curriculum for the Elementary School(Toronto: Curriculum Development

Center)

A complete primary school package.

T. Koetsier and L. Bergmans (eds) Mathematics and the Divine A HistoricalStudy(Elsevier Science, 2004)

Katherine Loop Beyond Numbers: A Practical Guide to Teaching Math Biblically

(Christian Perspective, 2005)

Katherine Loop Revealing Arithmetic: Math Concepts from a Biblical Worldview(no

date) ISBN 978-0977361106

Harro W. Van Brummelen, Mathematics in the Christian School(Toronto: The

Association for the Advancement of Christian Scholarship, 1971)

A preliminary report resulting from a seminar held in Toronto in July, 1971,

under the auspices of the OACS and the AACS. Contains a useful but out of

date bibliography.

Chapters in books

Harro Van Brummelen Walking with God in the Classroom: Christian Approaches to

Learning and Teaching(Ontario: Welch, 1988)

Though on Christian education in general, this book contains many insights into

mathematics.

Harro Van Brummelen 'Mathematics' in Steensma, Geraldine and Harro W. Van

Brummelen, editors. Shaping School Curriculum: A Biblical View. Terre Haute,

Indiana: Signal Publishing Company, 1977.

Gene B. Chase 'Has Christian theology furthered mathematics' In Facets of Faith andScience vol 2: The Role of Beliefs in Mathematics and the Natural Sciences:


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An Augustinian Perspective. Jitse M. van der Meer (ed.) University Press of

America/ Pascal Centre for Advanced Studies: Lanham/ Ancaster, 1996.

Harold Heie and David L. Wolfe (editors) The Reality of Christian Learning:

Strategies for Faith-Discipline Integration(Grand Rapids: Christian University

Press/ Eerdmans, 1987)

Harold Heie and Gene Chase contribute two chapters on ways of integrating theChristian faith and mathematics.

Harold Heie 'Developing a Christian perspective on the nature of mathematics'

in Arlin C. Migliazzo (ed.) Teaching as an act of faith: theory and practice in

church-related higher education. New York : Fordham University Press,

2002, 95-116

Jim Nance 'Worldview test case: Christianity in math class', in Repairing the

Ruinsed. Douglas J. Wilson, 59-71. Moscow, ID: Canon Press, 1996. contents

Vern Poythress A biblical view of mathematics in Foundations of Christian

Scholarship: Essays in the Van Til Perspective(Vallecito, CA: Ross House,

1976)

Develops a [Cornelius] Van Tilian approach to maths

Geraldine J. Steensma and Harro W. Van Brummelen Shaping School Curriculum: A

Biblical View(Terre Haute, Ind: Signal, 1977)

Contains a useful chapter on math education by Van Brummelen and some

examples (Statistics and Deductive Geometry) of how this translates into

classroom practice.

Danie F. M. Strauss 'A historical analysis of the role of beliefs in the three

foundational crises in mathematics'. In Facets of Faith and Science vol 2: The

Role of Beliefs in Mathematics and the Natural Sciences: An Augustinian

Perspective. Jitse M. van der Meer (ed.) University Press of America/ Pascal

Centre for Advanced Studies: Lanham/ Ancaster, 1996.

Danie F. M. Strauss 'Primitive meaning in mathematics: the interaction among

commitment, theoretical worldview and axiomatic set theory'. In Facets of Faithand Science vol 2: The Role of Beliefs in Mathematics and the Natural

Sciences: An Augustinian Perspective. Jitse M. van der Meer (ed.) (Lanham/

Ancaster: University Press of America/ Pascal Centre for Advanced Studies:,

1996).

Anthony Tol 'Counting , number concepts and numerosity' in Hearing and DoingJohn

Kraay and Anthony Tol (ed.) (Toronto: Wedge, 1979)

Noel Weeks The Christian School: An Introduction(Edinburgh: Banner of Truth)

Chapter 12 deals with maths. He contrasts rationalist and romanticist views of math

education and offers some pointers for a Christian approach.

Articles

Willis Alberda 'What is number' Pro Rege vol. 3 (March 1975), 2-8.

Willis Alberda ' Existence in mathematics' Pro Regevol. 7 (1979), 11-15.

Patricia L. Ahlborn 'A Christian philosophy of mathematics' online here

Places the emphasis on teaching maths with meaning; she has three broad

goals: maths should: reveal God, call the student to a life of service; and lead

the student into a deeper knowledge of God. A helpful overview.

Paul Bialek 'Integrative Questions in the Mathematics Curriculum: A Strategy for

Faith-Learning Integration in Mathematics' unpublished paper, 2003.

Steve Bishop 'Beliefs shapes mathematics' Spectrum28 (2) (Spring 1996)


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Examines several philosophies of maths to show that maths is not neutral but

shaped by beliefs. The contours of a Christian approach to maths are

sketched.

Steve Bishop 'Mathematics and the myth of neutrality' Christian School Education5

(4) (2001-2002), 19-21.

This issue of CSE had other articles on mathematics see here.James Bradley 'Two ways of knowing' Journal of the ACMS2004 (Aug)

James Bradley 'Teaching mathematics from a Christian perspective' World

Report ASCI(2009)

John Byl 'A Christian perspective on math' Reformed Perspectives27 (4)

available here

Robert G. De Boer 'Faith and mathematics' Reformed Journal27 (4) (1977)

Gary De Young 'Perspective on mathematical modelling' Pro Rege38 (2010)

Edward Fackerell 'The Relationship Between Mathematics and the Christian

Faith'. Christian Teachers Journal, Vol 11, No. 2, May 2003.

(The Christian Teachers Journalcan be contacted at: PO Box 7000, Blacktown

NSW 2148 Australia)

Edward Fackerell 'A Christian perspective on teaching mathematics'.

Howard Faw ' Does scripture support standardized tests?' PSCF 42 (1990), 86-93.

Geertsema, Jan C.A Christian View of the Foundations of

StatisticsPSCF39 (September 1987), 158-164

Jan Gormas 'A search for intellectual, relational and spiritual integrity: secondary

mathematics from a Christian perspective' Education and Christian Belief9(2)

(2005) abstract

I Grattan-Guinness, Historical notes on the relations between mathematics and the

Christianities, Meeting of Austrian Society for the History of

Mathematics(Spring, 1999)

Patricia J. Hambrick 'Assessing Current Practices: Mathematics' ASCI

Anglea Hare 'Mathematics and Christianity: Integration Project'Laura Harrington 'All I really need to know I learned .... in maths class???'

Andrew M. Hartley The Philosophy of the Law Idea and the Role of the Prescientific

in Statistical Inference Journal of the ACMS2004 (Dec)

H. Harold Hartzler The Meaning of MathematicsJASA 1 (January 1949), 13-19.

Robert A. Herrmann 'Modern mathematics - Its relation to physical science and

theology' (1999, 2007)

Jim Jadrich 'Constructivism in science and math: is it Christian?' Christian Educators

Journal 38, (October 1998), 17-18.

Calvin Jongsma 'Christianity and mathematics: an analysis of differing approaches to

their interrelationship' ICS Academic Papers, 1984.

Calvin Jongsma 'Mathematics: Always important, never enough. A Christianperspective on mathematics and mathematics education' Journal of the

Association of Christians in the Mathematical Sciences2006. Also in Pro

Rege35 (4), 21-38.

Brendan Kneale 'God and mathematical infinity' Perspectives on Science and

Christian Faith50

Willem Kuyk 'Some questions on the foundation of logic' Philosophia

Reformata34 (1969), 142-146

P. MacKenzie Entry Points for Christian Reflection within education (London: CARE,

1997) (Now available as an e-book)

Chapter 7 is on mathematics and looks at how it is approached from a UK

Christian schools perspective.Paul Marshall 'Mathematics and politics' Philosophia Reformata44 (1979), 113-136


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Edward Nelson 'Mathematics and faith'

Andrew Palfryman School mathematics and christian faith - are they

related? ActNowSummer 2005.

Andrew Philip Christianity and mathematics - a reviewMany to Many(Feb 1993)

Vern Poythress Creation and Mathematics; or What Does God Have to Do with

Numbers?The Journal of Christian Reconstruction1 (1), 128-40.Vern Poythress Mathematics as RhymeJournal of the American Scientific

Affiliation35 (4), 196-203. (See my commentshere)

Vern Poythress 'Newton's Laws as Allegory' Journal of the American Scientific

Affiliation35 (3),156-161.

Sharon K Robbert Christianity and mathematics

Devotionals with mathematics content!

Duncan Roper Euler and the Konisberg bridges: some lessons for the philosophy of

mathematics

Roger Slack Mathematics: An Historical Survey(Nottingham: ACT Mathematics

Group 1981-83)

A useful 30-page booklet dealing with the history of math from the

Pythagoreans to the present from a Christian perspective.

M D Stafleu 'The mathematical and technical opening up of a field of

science' Philosophia Reformata43 (1978).

Danie F. M. Strauss 'Number concept and number-

idea' PhilosophiaReformata. 35 (1970), 156-177

Danie F. M. Strauss 'Number concept and number-idea (continued)' Philosophia

Reformata. 36 (1971), 13-42.

Danie F. M. Strauss 'Dooyeweerd and Modern Mathematics' Reformational Forum,

1983, nr.2, 5-17.

Danie F. M. Strauss 'Mathematical paradigms' Journal for Christian Scholarship, 3rd

& 4th Quarter 1994, 113-167.

Danie F. M. Strauss 'The three foundational crises in mathematics' Journal forChristian Scholarship, 1st & 2nd Quarter 1995, 12-22.

Danie F. M. Strauss 'Mathematics and the Real World' KoersYear/ Vol. 65 (1) (April

2000), 95-121.

Danie F. M. Strauss Reductionism in Mathematics: Philosophical ReflectionsJournal

for Christian Scholarship, 37, 1ste en 2nd Quarter, 2001, 1-12

Danie F. M. Strauss Is a Christian Mathematics possible?Tydskrif vir Christelike

Wetenskap/Journal for Christian Scholarship, 2003(3-4), 31-49.

Harro Van Brummelen 'Mathematics in the Christian High School

Curriculum' Christian Educators Journal vol. 17(September/October 1977), 15-

17.

Harro Van Brummelen 'What's happening in math' Christian Home and Schoolvol.57 (May/June 1979), 16-18.

Harro Van Brummelen 'Toward a Christian Approach to Teaching and Learning

Mathematics' ASCI

Arnold Veldkamp 'Irrational numbers and reality' Pro Regevol. 4, (December

1975), 2-3.

Web resources

Kuyers Mathematics online

ASA Maths links


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Transforming Teachers resources here

Blogs

Josh Wilkerson's God and math

Katherine Loop's Math from a Christian Perspective

matematica reformacional

Blog posts

Patrick Chan 'A few math resources'

A Bibliography for a Christian Approach to Mathematics version 3.0

Documents

Transcript of A Bibliography for a Christian Approach to Mathematics version 3.0