The Challenge of Defining Mathematics Throughout history, humans have never settled on one particular definition for mathematics. Part of the reason is the abstract nature of mathematics, and the way general mathematical truths can apply to an infinite number of situations. For example, think of numbers. Numbers are abstract ideas. The number 3 is an idea … Continue reading Defining Mathematics
Teaching Mathematics
Topics related to using DIVE Math (www.diveintomath.com) and teaching mathematics from a Christian worldview
Jesus Christ, the Common Core of all DIVE courses
A Brief History of University Late in the 12th Century, a phenomenon unique to Europe appeared, the university. University is actually a combination of two words, unity and diversity. Originally, universities were schools that owned no real estate, but were instead an association of teachers or students. Although not always theologically or scholarly accurate, what … Continue reading Jesus Christ, the Common Core of all DIVE courses
Sowing DIVE Seeds
"......But others fell on good ground, sprang up, and yielded a crop a hundredfold." Luke 8:4-8 In the parable of the sower, Jesus used the analogy of a seed to help His disciples understand how the Word of God works in the lives of people. When God's word falls on the "good ground" of a … Continue reading Sowing DIVE Seeds
Producer Math
When you eat the labor of your hands, you shall be happy, and it shall be well with you. Psalm 128:2 Failing at producing You may have heard the phrase that America has turned into a "nation of consumers". If you think that is an incorrect assessment, take a look at this graph: This year, … Continue reading Producer Math
Weighing the Differences in 3rd and 4th Edition Saxon Algebra 1
Over the past few months, many parents have contacted us, asking if we plan to make a DIVE CD to teach the new Saxon Algebra 1, 4th edition textbook. The short answer is "no", and the short reason is that we believe the newer Saxon textbooks have strayed too far from John Saxon's (1923-1996) original, … Continue reading Weighing the Differences in 3rd and 4th Edition Saxon Algebra 1
Understanding vs. Memorization
A Google search of the phrase "understanding versus memorization" yielded some of the following comments: "The old style of teaching used to stress memorization." "More and more top-level research on how we learn backs up the benefits of 'teaching for understanding' versus memorization." "Productive thinking is defined as thinking based on an understanding of the nature … Continue reading Understanding vs. Memorization
2011 Catalog
My favorite part of making this catalog was taking the pictures! Click the link below to view it: 2011 Catalog
Student finds error in Saxon Calculus, 2nd ed
Last week, a student who uses our DIVE CDs emailed me to verify an error in problem number 24 of Saxon Calculus, 2nd edition, Problem Set 63. Although this error did not actually affect the final answer, it was an error nonetheless, and was missed by the editors of the Saxon Solutions Manual. EVERY curriculum … Continue reading Student finds error in Saxon Calculus, 2nd ed
Why Use DIVE Math
DIVE Math is simply CD-ROM Lectures that teach Saxon Mathematics. Designed with homeschooling families in mind, DIVE CDs eliminate teacher preparation and lecture time, and allow students to go at their own pace. Dr. Shormann teaches using a learn-by-doing approach, with each lecture starting with a brief introduction, followed by several practice problems that the … Continue reading Why Use DIVE Math