at Mills College

# Teaching Through Problem-solving

In Teaching Through Problem-solving (TTP), students develop each new mathematical concept by solving a problem that illuminates it.

Each TTP lesson is carefully planned as an individual lesson, and also as part of a cohesive unit in which each lesson builds on prior learning. TTP lessons are designed to build students’ mathematical practices and habits of mind and also specific mathematical knowledge.
Examples of TTP unit plans and lesson videos are found below.
Grade Level Unit/Topic Unit & Lesson Plans Video
K Two numbers together: Making 5
(Teacher: Aubrey Perlee)
Watch Lesson

Watch Practice Game

K Two numbers together: Making 7

(Teacher: Samantha Roeth)

Unit Plan Watch Lesson

K

Pick up sticks game: Making tens

(Teacher: Aubrey Perlee)

Unit Plan Watch Lesson 1

Watch Lesson 2

K-1 Composing and decomposing numbers up to 10.

(Teacher: Akihiko Takahashi)

Unit Plan Watch Lesson 1
Watch Lesson 2
Watch Lesson 3
1
Calculation of three numbers

(Teacher: Bill Jackson)

Unit Plan Coming soon
1-2
Solving problems using diagrams

(Teacher: Bill Jackson)

Unit Plan Watch Lesson 5
2 Let’s investigate numbers greater than 1,000

(Teacher: Rebecca Reddicliffe)

Unit Plan Watch Lesson
2 How can we organize this information?

(Teacher: Meghan Smith)

Unit Plan Watch Lesson
2 Comparative Subtraction

(Teacher: Rebecca Setziol)

Watch Lesson
2 Using a diagram to identify the operation to solve a word problem

(Teacher: Leslie Monk)

Unit Plan Watch Lesson Clip

3
Area of rectangles and squares

(Teacher: Bill Jackson)

Unit Plan Watch Lesson 1
3
A conceptual understanding of multiplication

(Teacher: Joshua Lerner)

Unit Plan Watch Lesson 1
Watch Lesson 2
Watch Lesson 3
Watch Lesson 4

3 (Bilingual)

Compare 5/10 and 1/2

(Teacher: Karen Cortez-Ramirez)

Unit Plan Watch Lesson
3-4
Introduction to fractions in a linear measurement context

(Teacher: Akihiko Takahashi)

Unit Plan Watch Lesson 1
Watch Lesson 2
Watch Lesson 3

3-4

Ways of counting and mathematical expression

(Teacher: Akihiko Takahashi)

Unit Plan Watch Lesson 1
Watch Lesson 2
Watch Lesson 3
Watch Lesson 4
4
Finding the area of shapes

(Teacher: Akihiko Takahashi)

Unit Plan Watch Lessons 1-3
4
Introduction to fractions in a linear measurement context

(Teacher: Joshua Lerner)

Watch Lesson 3
4
How do mathematicians add fractions with unlike denominators

(Teacher: Alex Johansen-Laughlin)

Unit Plan Watch Mock Up Lesson
Watch Lesson
Watch Students share about their journal work

4

Can we turn 7/3 into a mixed number?

(Teacher: Hanna Sufrin)

Unit Plan Watch Lesson

4

Interpreting the remainder in division

(Teacher: Sara Liebert)

Unit Plan Watch Pre-Lesson Discussion

Watch Lesson

5
Multiplication of a whole number by a decimal

(Teacher: Drago Petrusic)

Unit Plan Watch Lesson

5

How to subtract fractions with unlike denominators

(Teacher: Alex Johansen-Laughlin)

Watch Lesson

5

How to divide a fraction by a whole number

(Teacher: Alex Johansen-Laughlin)

Unit Plan Watch Lesson