Math does not have to be hard or difficult to understand. Nor do we as Christians have to settle for viewing it the same way the world does. Beyond Numbers exposes the spiritual harm in today's math presentations and shows how math is really an exciting testimony to God's faithfulness and is an incredible, God-given tool. The second half of the book walks through teaching math biblically, covering everything from curriculum choice to overcoming obstacles. Written in a straightforward, non-technical manner, this book is perfect for homeschool parents and anyone else who wants to view or teach math biblically. James D. Nickel, professor of mathematics and author of Is God Silent?, said, "The book is a great, general-purpose introduction for a typical parent." Sandra A. Lovelace, homeschool pioneer, speaker and author, and International Consultant with HSLDA made the following "Every homeschooling parent, every Christian teacher, and maybe every Christian who uses mathematics ought to read this book." Homeschool mothers have found the book delightfully easy to read and encouraging. One mother explains, "As a homeschooling mom committed to teaching my children to love God whole-heartedly, I was startled to find I had unconsciously accepted math as a spiritually neutral...I believe every Christian teacher who reads Beyond Numbers will be challenged to rethink his/her assumptions about math, and will be motivated, as I am, to find new ways to present math facts, concepts and principles biblically."
Beyond Numbers A Practical Guide to Teaching Math Biblically Katherine A. Loop Fairfax, VA: Christian Perspective, 2nd edn 2011 ISBN Second Edition: 978-0-9773611-3-7 Available here
'Teaching Christianly may well be the hardest job in the universe' according to John Van Dyk [1]. Teaching mathematics Christianly may be even harder!
Katherine Loop's view of mathematics changed when she read James Nikel's seminal book Mathematics: Is God Silent? She agrees with Nikel that God is not. Many Christians think that God is silent, that maths is neutral and that it is eternal or at least exists in the mind of God. And this, sadly, includes many Christian mathematicians. Loop does not succumb to these myth and she presents much good introductory material here to subvert them.
Loop starts by rightly emphasising the created-ness of mathematics. If God creates all things then that must include numbers, addition and the rest.
She writes: Math is not a neutral subject. God’s invisible qualities are clearly seen in math. If we are not worshiping God in math, we are unconsciously worshipping the creation, in this case, math itself. We are exchanging God’s truth for a lie. Our attempts at neutrality only harm us and open up our hearts to worldly, independent thinking. p 27.
The strength of the book is its simplicity and accessibility. That is also its weakness as some of the arguments are glossed over and they wouldn't convince a skeptic, but then that probably isn't the aim of the book.
She examines some erroneous ways of teaching maths 'biblically'. These include adding in a Bible verse - she rightly points out:
Simply adding Bible verses or thoughts to our math lessons does not make math biblical. Math still comes across as independent from God. She discusses some common textbook approaches to division and shows how they are lacking and then develops her own approach using 'cookies' and splitting them (dividing) them into groups and then concluding: Guess what? Because God holds all of creation together so consistently, if you take twelve objects and put them into three piles, you will always end up with four objects in each pile! God’s consistency makes it possible for us to do division without actually touching the objects we are dividing. Just as we did with multiplication, we can memorize our division facts and be confident they will always work because of God’s faithfulness. (p. 32)
The book is obviously geared to a North American context. This is obvious by the use of terms like math and cookies but also for example we have statements such like 'Most students learn the long division method without really understanding why the method leads to the right answer.' This rote learning approach is very much frowned upon in the UK (not to say such a pragmatic approach doesn't exist this side of the pond), the emphasis in the UK is not on learning by rote but more on understanding and encouraging students to use their own methods - and this approach is advocated by those who aren't Christians as well as Christians. Such an approach that Loop rightly criticises is merely bad maths pedagogy.
In one place (p. 35) she states:
But a biblical math presentation will always introduce the concept as a practical tool dependent on God’s continual faithfulness. [my emphasis]
This is stated rather than justified. In what way is this biblical? And why always? What if there is (at present) no practical application to the maths? What image of maths does this give us? Is it merely a tool - an instrument? This approach could lead to a utilitarian view of maths.
To be fair, in a note she does clarify this: Just presenting math practically does not teach math biblically. What a tragedy it would be to know how to use math practically while remaining blind to the One who makes practical math possible! Yet practical math is the natural outcome of a biblical view of math.
So, practical maths is necessary but not sufficient for it to be a Christian approach.
For Christians teaching maths in a home school or Christian school context this book will be invaluable. For those teaching in a non-Christian context it will be useful, but the ideas and explicit Christian approach will need to be made more implicit. It does raise the important question can we teach Christianly in a state school without mentioning God? The other question left unaddressed is, could a Moslem teach a Moslem approach to maths using this method? (For example by using the name Allah instead of God on p. 32) If so what implications does this have for this as a distinctively Christian approach?
I'm puzzled why Loop continually refers to this approach as 'biblical math'. I much prefer the term Christian maths. The danger with the term 'biblical math(s)' is that it could encourage an encyclopaedic fallacy approach to reading the scriptures. What is the biblical value of pi? 3 if we are to go by I Kings 7:23-26. Does it mean that we should return to measurements in span and cubits? But again I'm being pernickety.
I have perhaps been overly critical - but I hope in a constructive way. There is much wisdom in this book. The emphasis on God as the creator of maths, the ways maths reflects God's faithfulness, maths as a tool for understanding (and I'd want to add developing) the creation, that maths is not neutral is excellent; they are all important truths.
She makes some good suggestions for teaching maths. These include: show how the concept reveals God's character/ design teach using a real-life principle use the concept practically use the history of maths to show how the concept has been used in the past. The book deserves a wide audience. It will be a shame if that potential audience is put off by some of the un-subtleties and unsubstantiated assertions. That said, however, Loop's book and her many practical suggestions may well help make teaching maths Christianly a little easier.
[1] Letters to Lisa: Conversations with a Christian Teacher - back cover.
Contents
1. Where did Math Come From, and Why does it Work? 1 2. Math Points us to God 7 3. Math’s Practicality 11 4. Math Is not neutral! 19 5. Harm to the Heart 25 6. Adopting a new Heart Toward math 29 7. Preparing to Teach math Biblically 45 8. Teaching math Biblically 9. Ready, Set, Now What do I do? 61 10. Curriculums and resources 67 11. Overcoming the difficulties 83 Parting Thought 87 Appendix A: Idea notebook 89 Appendix B: Bibliography 95
A fabulous read for anyone really...but those that have a specific interest in forming perspectives about how math connects with The Creator, will especially want to read this book. I found it so refreshing and valuable, that I actually just started stocking it in my bookstore for homeschoolers, along with the authors step by step book on how to implement a Biblical perspective to any math curricula, Revealing Arithmetic.
Practical was the right word for the subtitle. But it is philosophically grounded and articulated, too.
Main ideas: Math originated in God. Doing math is a tool for describing the order and complexity that God has built into the universe. In this, math reveals much of the character of God (Romans 1:20). Doing math is also a tool for enjoying God's creation.
Teaching math biblically means giving up the idea that math is a values-neutral subject, irrelevant to the existence of God. It means exploring the history and applications of math. I love the account of Classical Greek mathematicians that eventually quagmired European academics contrasted with the protestant/scientific reformation awakening to math under the sovereignty of God. Excellent illustration of the difference our approach makes.
Loop includes a chapter on resources, too. Though the book is written mostly with homeschooling parents in mind, I found very little that did not apply to classroom teachers as well.
A wonderful book introducing the concept that the Lord is glorified through math. I would highly recommend this book to all Christ-followers. The majority of us are taught that math is neutral. This is simply not the case! God created math and it points to himself. The idea that math is neutral is humanistic and false. This was a quick, encouraging read!
This book presented an easy to understand view of teaching math from a biblical world view. It is written for parents who homeschool their children, but the concepts are easy to bring into a traditional classroom as well.