Archi-math for Students
Archimath Blog
Many students who expand their understanding using Archimath see growth in areas of algebra, geometry, and creative problem solving. It is the best preparation for middle and high school students to tackle college mathematics and beyond. Materials that should be in school, but are often not!
What results can we expect from students that are using Archimath’s textbooks
Our program prepares students:
to enter high school and college with confidence in their math skills and knowledge;
to be successful at any level of high school and first-year college math classes;
to develop maturity and a life-long relationship with mathematics that:
will distinguish them among their peers;
will serve them well in any profession and in any endeavor in which they chose to engage.
to effectively learn from a textbook that’s deep, systematic and doable
solution for parents who want the best math foundation for their kids
engaging math curriculum that students love, with reading and writing elements that develop critical thinking skills.
rigorous materials that teach in depth problem-solving skills, preparing students for exams and build the necessary foundation for math contest.
Stepping board for Ap exam, preparation for successful college math
courses ( in particular SAT exams)
How are we going to add more value to the students
- Our steps to success
Reading Mathematics
Logic and Communication
Writing Mathematics
Multiple Solutions
Efficient Solutions
This textbook series creates the environment for a strong bond between the student and the material, in the difficulty and breath of math content; in the expectations of quality, depth, and rigor of student work; by building a robust Temple of Mathematics: always depending on previous knowledge and reinforcing it via new applications and without needless repetition; always looking ahead and linking current material to new things to discover by a gradual climb:
You can check out our demos and choose between paperback and online formats.
What we offer:
Textbooks with Answer Key
Online Materials
Math Workbooks and Worksheets
At any time throughout the school year the place and importance of the concepts, ideas, and techniques studied are clear within the “bigger picture” of Mathematics.
… There should be order, balance, and harmony in everything we do, teach, and learn. We cannot lower our standards when teaching mathematics to young minds. On the contrary, we must be especially careful because of the hierarchical structure of mathematics.
And thus, the present textbook series* has found the golden ratios*: mathematically sound and pedagogically sound; the practical and the inspiring.
The textbook series promotes at all times
- Simplicity and Elegance:
In anything we do, especially in mathematics.
- Courage: Not being afraid to make mistakes and to learn from them.
- Diversity of Ideas: Via multiple solutions to the same problem.
First and foremost:
- Learning to Think Deeply:
Make connections with previously learned material.
These are not just catchy, “politically correct” phrases intended to sell more copies of this textbook. They truthfully describe this math program and help build a solid math structure, with adjoining “walls, windows, and doors,” through which to move from topic to topic and make connections between various concepts, formulas, and ideas.
More about what results can we expect from students that are using these textbooks?
The present program extends the mathematics taught in elementary school and completes it to a comprehensive K-12 math program that prepares students:
- to enter high school and college with confidence in their math skills and knowledge;
- to be successful at any level of high school and first-year college math classes;
- to develop maturity and a life-long relationship with mathematics that:
- will distinguish them among their peers; –
- will serve them well in any profession and in any endeavor in which they chose to engage.
- to effectively learn from a textbook that’s deep, systematic and doable
- solution for parents who want the best math foundation for their kids
- engaging math curriculum that students love, with reading and writing elements that develop critical thinking skills.
- rigorous materials that teach in depth problem-solving skills, preparing students for exams and build the necessary foundation for math contest.
- Stepping board for Ap exam, preparation for successful college math curses ( in particular SAT exams)
- Problem-solving education that helps students excel in school and on tests while also encouraging them to pursue a deep, focused understanding of the content
- Challenging problems presented in a way that encourages students to keep trying, teaching perseverance, proofs and world problems
Program that is deeply aligned with the Common Core Mathematics Standards and suitable as an in-depth supplement.
The approach and methodology
If it were up to us, up through 11th grade high school students would study a good balance of Algebra and Geometry topics, mixed with some Number Theory, Combinatorics, Probability, and Statistics. And only in 12th grade, with a solid preparation and math maturity under their belts, would they venture into advanced concepts such as limits, continuity, and derivatives, which comprise about half of Calculus BC. Thus, during their senior year, they would study thoroughly and deeply:
- sophisticated definitions like the e-d definition of limit,
- and powerful statements like the Intermediate and Mean Value Theorems, and the occasionally “dangerous” L’Hôpital’s Rule,
- along with their proofs and relevant problem-solving techniques. A rigorous treatment of this material would take time and sustained effort from both teachers and students, and a whole year may be barely enough.
But this would be “the right prequel to college math courses” and “the right way to learn Calculus.”
Our students would thus march into college with fortified math knowledge and skills, and a clearer understanding of how mathematics works, better prepared for success in their college freshman math courses.