#
Advanced Subjects Test (AST)

**
Mathematics**

**
-Mathematics I, Mathematics II**

The AST Mathematics I & II and GSAT Mathematics differ in terms of
their goals of evaluation and levels of difficulty. GSAT Mathematics evaluates
students’ knowledge of basic high school mathematics concepts and ability to
solve problems using this knowledge.
Meanwhile, the AST Mathematics I &II focus on students’ ability to express
mathematical ideas and to solve problems using inductive and deductive reasoning
skills.

**
Objectives**

Like the GSAT
Mathematics, the AST Mathematics I &II evaluate students’ conceptual and
procedural knowledge of math as well as their ability to solve math problems.
However, the AST Math tests also aim to assess students’ ability to read,
communicate, and connect mathematical ideas, as well as to enhance their
inductive and deductive reasoning skills.

**
1. Conceptual knowledge**

For example: Students’ ability to recognize
a certain math concept and the theory behind it

**
2. Procedural knowledge**

For example: Students’ ability to read
mathematical charts, figures, and use formulas and procedures to solve math
problems

**
3. Ability to read and communicate mathematical ideas**

For example: Students’ ability to
understand a problem and to deliver a solution in mathematical language

**
4. Ability to connect math knowledge with other aspects
of life**

For example: Students’ ability to
understand different mathematical ideas and connect them with other fields of
academic knowledge or life experiences

**
5. Inductive and deductive reasoning**

For example: Students’ ability to apply
mathematical models and logical thinking while doing inductive and deductive
reasoning

**
6. Ability to solve math problems**

For example: Students’ ability to apply
math knowledge, choose effective strategies, use deductive skills when solving
math problems, and check the legitimacy and accuracy of the solutions

**
Scope**

The questions on the AST Mathematics I &II are based on the 2010 version of the Senior High School
Curriculum Guidelines for 10th to 12th grade mathematic courses.

**
Focus of the
Questions**

The AST Mathematics evaluates students’ knowledge of important math concepts and their
ability to use this knowledge. Therefore, rather than testing specific math
concepts, AST Mathematics questions require students to analyze math problems
and use their knowledge of several math concepts to come up with solutions.
Also, the non-multiple-choice questions on the AST Mathematics are designed to
evaluate students’ ability to read, analyze, and communicate mathematical ideas.
For example, the AST Mathematics I asks students to perform mathematical
inductions and calculations, while the AST Mathematics II requires students to
identify math concepts, procedures, and methods in different scenarios as well
as to showcase ability in mathematical deduction and communication.