Math
FREE DOWNLOAD: First-Lessons
in Arithmetic, Jones Bros., 1878. This math book will provide home
school parents and public school teachers a incomparable tool from the past to
help their students master the fundamentals of arithmetic. This book was handed
down to me by my family. My ancestors used it. It is my privilege to make this
precious family heirloom available to the public. My main purpose in publishing
this book on the web is not just antiquarian, I fully expect that parents and
teachers will download this book and use it to produce a generation of children
who are experts at basic math calculation. Personally, I think it is far better
than Ray's Arithmetic, and vastly superior to the confusing
modern consumable workbook that plagues today's classrooms. The final pages
were scanned and published here on 10/3/04 (Revised 3/25/05) NOTE: It is a very
large file (209.66.23 MB). Because the file is so large, I have divided it into
10 smaller files for easier downloading.
1. Basic
Addition, pages 1 - 31.
2. Basic
Subtraction, pages 32 - 50.
3.
Basic Multiplication, pages 51 - 71.
4.
Basic Division, 72 - 92.
5.
Fractions, 93 - 104.
6. Notation
and Numeration, 105 - 112.
7. Advanced
Addition and Subtraction, 113 - 121.
8. Advanced
Multiplication, 122 - 127.
9. Advanced
Division, 128 - 133.
10.
Denominate Numbers and Measurement, 134 - 144.
I appreciate a homeschool
mom in Australia who sent me the following link to
First Lessons in Numbers, (1888) This book is a real gem and quite similar
to First-Lessons in Arithmetic.
First Book in Arithmetic is a wonderful supplement to First Lessons in Arithmetic.
Ray's New Intellectual Arithmetic was quite successful. This edition was published in 1877.
David Tower's 1850 Gradual
Lessons in Oral and Written Arithmetic
Caution: Be sure to show students the side of the math flashcards with the answers on them because if you show them the side without the answer they might memorize the side without the answer. Think about that. It is more important that you might think. We want students to associate two numbers in an addition problem with the correct answer not with a blank space.
I heartily recommend Sam Blumenfeld's How to Tutor as an excellent source for a basic understanding of how to teach arithmetic. You can purchase his book at: How to Tutor His method may seem a little strange to teachers used to modern textbooks, but a close reading will yield profound insights into best procedures for helping students master the fundamental arithmetical operations. Arithmetic operations should be memorized and over-learned to the point that they become automated procedural processes, fully automated and perfectly accurate. Unit counting should be avoided at all costs. Students who have the mechanics of calculation automated (able to run with out conscious attention) will inevitably be able to allocate more attention to problem solving. My gandson, Rhyan (age 9), studied Saxon Math at the Odessa Christian School where he learned all of his math facts to full automaticity.
Here is a link to a most unusual arithmetic book, but one
which may hold great promise as a tool for teaching basic calculating skills.
The arithmetical primer. Underhill's new table-book; or, Tables of arithmetic
made easier. By D. C. Underhill ...Underhill, D. C. (Daniel C.), Here is a new site I recently found: Systematic
Math. It will open your eyes. Math
Mammoth has a lot of wonderful information on learning the arithmetic tables.
Why Your Child Can't Understand
Math My search of good
math material has been most frustrating. I have never felt that the typical math
adoptions were effective, but was at a lost as to how to improve things.
Recently I have come upon a very perceptive article by Jerry Schnell which sheds
much light upon this universal problem. I hope you will take the time to read
through this article and look at the other information provided by this unique
web site. The site address is: Why
Your Child Can't Understand Math. Multiplication
Matrix My good friend, Charlie
Richardson, recently sent me a Multiplication Matrix that he and his wife
developed to help students learn their multiplication table. He has given me permission
to publish it here. The Matrix should prove very valuable in math classes around
the world. Here is is in Adobe format: Multiplication
Matrix. AAA
Math - Interactive Math Skills Site Recently
I came across a very useful, interactive math site:
AAA Math. I highly recommend that parent and teachers direct their students
to this site to help improve their calculation skills. Teaching
Tables Recently I happened
upon a very helpful interactive math site for learning the times tables. The program
is available for purchase, but there is a fully functional version on-line:
TeachingTables.com.
Algebra - All the help you need - FOR FREE! A
high school student recently told me that he had improved his Algebra grades by
studying the information on the Purplemaths web site. For advanced studies in math, you will find www.cramster.com a
very hepful source. The unusual title of this valuable essay says
a lot: In Defense of "Mindless
Rote." Ethan
Akin make a strong defense of the importance of learning lthe basics to automaticity.
Here are some other excellent articles on the need for "overlearning"
of basic skills: "Practice
Makes Perfect: But Only If You Practice It Beyond the Point of Perfection.
Hall's
Arithmetic Primer (1901). A marvelous method that every teacher and home school
parent should have. You can download it from this URL at Google Book. Hall also
wrote an Arithmetic
Reader. which something of a combined reader and arithmetic book. Here is
Adam's
New Arithmetic (1848). Here is the Teacher's
Key to Adam's New Arithmetic.
Practical
Arithmetic (1847) by James Thompson.
The
Stone-Millis Arithmetics: Primary (1914). Important from both a practical
and theoretical purposes.
A brief visit to the
sight makes it obvious that this is a true national educational treasure. Here
is almost everything you need to know about Algebra. Click here: purplemaths.