Do you mean preschool children or beginners of advanced mathematics (from algebra to linear algebra)? As an absolute start, I suggest any book that teaches the comparison between numbers and everyday things. For such an era, I want to leave this problem to educators to solve. This is a topic that is best left to them.

For a beginner who has just started to learn advanced mathematics, I suggest starting with Algebra 1 by Holt McDougall, provided that you know the concepts before algebra. If not, you can watch videos of some key concepts (slope intercept form, solving algebraic equations, Pythagoras theorem, parabola) on youtube. Holt McDougall Algebra 1: Student Edition 20 1 1

Then you can study geometry. I suggest reading Ron Larson's Geometry: 1. I strongly recommend watching videos to visualize your work.

The next one is trigonometric function, not the whole course, but a large part. You can find the 1 1 version of Schneider's trigonometry here. You will mainly study triangles and circles. It is almost an extension of geometry. Triangle edition 1 1- e-book PDF edition -Zlibrary Extra

Then algebra 2. I recommend Algebra 2 written by Prentiss Hall by Allen Berman. Here, you will learn conic curves, logarithms and exponents, more advanced equations, and perhaps roots, and so on. Prentice Hall Mathematics: Algebra II

Then enter the preparatory stage of calculus. Franklin Demana's Introduction to Calculus: Graphics, Values, Algebra is a good choice, but it can be left to an open explanation, because the introduction to calculus is difficult to teach. You can learn basic vectors, integrals, derivatives and so on. Fundamentals of Calculus: Graphics, Numbers, Algebra.

Now you are going to enter calculus. This is a very difficult thing, but it will bring infinite returns. You should review more difficult integrals (indefinite integrals), more difficult derivatives, complex vectors, limits, differentials and so on. I'll give you another book by Ron Larson, Calculus and Analytic Geometry.

From here on, you can continue to study calculus in depth, which is my suggestion. It is very helpful to buy more books on calculus, because this course is very complicated, and it will be good for you to practice more. Calculus ii

Now you have entered the high-end university mathematics field. Differential equation! You need some textbooks on this subject. Ordinary differential equation, differential equation, differential equation the first lesson.

Then you may have to enter the last level of pure mathematics, which is also the limit I can provide-linear algebra. You must deal with eigenvalues, eigenvectors, matrices, transformations and so on. William clark's practice makes the introduction of perfect linear algebra and linear algebra a good starting point.

From now on, you will be exposed to applied mathematics, such as fluid mechanics, wave mechanics and so on.