Center for Teaching and Learning Mathematics

Math for Gifted Students

Professor Mahesh Sharma

An intensive week-long course.

June 2026

For gifted students, age 4-13.

Students will achieve next-level understanding and the prerequisite skills for independent performance in advanced mathematics.

  • Language and conceptual schema of number.

  • Number Concept + Additive Reasoning

  • Multiplicative Reasoning

  • Proportional Reasoning Group

  • If have language + number concept + proportional reasoning --> advance to Algebraic Reasoning Group

Conceptually 5-years-old

Grades 4 to 7

  • Hypothetical reasoning

  • Hyperbole

  • Mia, a gifted 4th grader, found that 104 is the number of squares of square numbers, which are square numbers. She found all of them.

  • Mia and her brother are both gifted in pattern recognition.

Grades 7 to 8

  • Student demonstrates the performance of skills at a formal higher level of thinking.