Teaching Through Problem-Solving in Mathematics

Free math curriculum

LoiLo Teaching Through Problem-Solving Math Curriculum is Free.

https://gyazo.com/7e8a50ecb18f08a52cb284ad0c550602

Teaching Through Problem-Solving (TTP)

Introduction to TTP

The Teaching Through Problem-Solving (TTP) approach to mathematics encourages students to discover and create independently. Instead of memorizing formulas, it emphasizes developing their skills to analyze and find solutions through activities such as comparing their answers with classmates' and having discussions. This fosters their ability to apply mathematical concepts and independently solve unfamiliar problems.

Mathematics serves as a practice ground for forming logical thinking. For example, when faced with a complex L-shaped area, children invent ways to dissect and rearrange it, recognizing it as a familiar rectangle. This empowers them to discover solutions themselves, rather than just memorizing formulas. This approach fosters the idea that knowledge is personally constructed through understanding, not merely received from others.

The Impact of TTP

The chart on the left provides evidence of TTP implementation at John Muir Elementary School in San Francisco. It highlights a window between 2014 to 2019 in which they incorporated TTP into their math education program, showing positive student learning outcomes across all school subgroups.

The chart on the right shows the relationship between the percentage of test material taught in class (X-axis) and students’ test accuracy rate (Y-axis). Notably, data from Japanese students reveals that they use their accumulated knowledge to figure out the correct answers to questions they have yet to learn.

Teaching Through Problem-Solving (TTP) in Action

Insights from Japanese Education: Empowering Students to Master the Art of Finding Solutions

Japanese schools adopted the TTP approach in the 1990s.

Through TTP, students learn how to solve unfamiliar problems using what they have learned.

Teachers don't act as lecturers but as observers of students as they work independently and facilitators of whole-class discussions of their different approaches to solving a problem.

TTP supports students’ development of mathematical thinking skills.

TTP-Driven Teaching: Sparking Student Initiative in Tackling the Unknown

In TTP lessons, the teacher observes and guides a class-wide discussion. In this context, students and teachers freely and quickly conceptualize, create, and present ideas. Collecting each student's responses for sharing, comparison, and discussion is crucial for successfully implementing TTP in the classroom. This enables students to learn from one another and understand the essence of learning, including dealing with the unknown.

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Digitalizing TTP Lessons: Making TTP Teaching Accessible to All

Teaching in this manner can be challenging for educators in terms of technology and skills. However, using the digital interactive lesson platform “LoiLoNote,” along with LoiLo TTP content, can help overcome these challenges.

LoiLoNote offers all the necessary features for TTP instruction, particularly the fundamental sequence critical to TTP, which includes collecting, sharing, comparing, and presenting student responses, all achieved digitally. By incorporating TTP as a curriculum on LoiLoNote, any teacher can effortlessly integrate TTP into their lessons.

https://gyazo.com/ebb77d9ccb628eb6baf1058a3da1910a

LoiLo TTP in Math Curriculum

Contents: Customize Teaching Materials to Maximize Your Lesson!

We offer an authentic TTP-based curriculum called LoiLo TTP, which is operated through LoiLoNote. We are currently developing content for mathematics education. We provide Unit Plans, which offer a comprehensive overview of the entire unit and include detailed hour-long lesson plans, among other resources.

Everything provided is editable within the user's app, allowing teachers to make appropriate adjustments according to the specific needs of the class and students.

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Exploring Collective Thinking Board (CTB)

In LoiLo TTP, we oer the “Collective Thinking Board” (CTB), a digital white board specifically designed for facilitating discussions using students' responses. The CTB simplifies the process for teachers to compare and contrast students' work, promoting in-depth mathematical discussions and fostering profound student learning.

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LoiLo TTP on LoiLoNote

LoiLo TTP has been developed to be used specifically on LoiLoNote. It includes everything needed for class.

The flow of TTP Lesson

Instantly and easily distribute worksheets

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View collected student responses in a list

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3. Comparing students' responses

Select which student's answer to use

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Gather and display responses on your CTB Card.

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4. Creating reflections on “My Math Note”

Students summarize and reflect the day’s problem, discussion, and their own understanding.

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What is LoiLoNote?

Think visually, Learn together

LoiLoNote School is an interactive lesson platform specially designed for Student-Centered Learning. Its game-like interface offers quick feedback which enhances visual thinking. With its straightforward features, students can effortlessly explore and learn independently or collaboratively which leads to their increased motivation.

LoiLoNote is a cloud-based app compatible with all operating systems and suitable for all grade levels and subjects—not just math. Plus, it offers unlimited data storage.

https://gyazo.com/b73040074d06a15b80291f75dae12b84

Why is “LoiLoNote” the perfect fit for TTP?

Unlike other tools, LoiLoNote provides a workspace for students and teachers to explore. It also features a submission box for viewing students' ideas, enabling everyone to share their thoughts with the whole class. In the context of TTP, students, and teachers need to freely conceptualize, create, present, and compare ideas quickly. Traditional apps often prioritize teacher-led management, lacking a user interface that fosters creativity among teachers and students. This tool, which allows for sharing and learning from each other's responses, is perfect for TTP.By developing TTP as a curriculum on LoiLoNote, any teacher can now easily incorporate TTP into their lessons.

https://youtu.be/iByVI0OuqqE

Related

a leading authority in mathematics education who has been involved in TTP research for many years, strongly endorses 'LoiLoNote' as the ideal choice for TTP.

Ms. Liebert

Digital Materials for TTP Lessons in Math

We've developed the Unit Plan, a comprehensive schematic for the entire unit, and incorporated detailed, hourly lessons into a single page, all within the platform of LoiLoNote. We've also integrated instructions for educators. Simply with LoiLoNote, you can facilitate lessons focused on problem-solving.

Unit Plan

Lesson flow: Students initially attempt the learning problem independently (Investigate). Next, through sharing the collective thinking of the class, teachers guide them to solidify the new idea (Learn) and encourage them to tackle similar problems to reinforce their understanding (Apply). By articulating what they have learned (Master), and sharing mathematical viewpoints, students are steered towards mastering the learning task (Extend).

Lesson Plan

Each hourly sheet contains all content and teaching methods for the class, with time-set activities and arranged content, including presentation cards, worksheets, and instruction methods for students. This sheet enables teachers to implement problem-solving lessons immediately, with easy editing and adjustment of any content.

Lesson Card

There are three types of cards

white for teacher's presentations, blue for student activities, and green for teacher's instruction plans.

https://gyazo.com/595f8e9e984b847426de21c86c1a15d5

multi media card

This is a multimedia teaching material, including photos, videos, PDFs, web interactive-apps, tests, etc. The cards can be enlarged by touching, and you can write on them or record audio.

Collective Thinking Board

The traditional blackboard is realized on the desktop on digital.

Collect student responses on the teacher's desktop.

Use the CTB sheet as a blackboard.

Paste multiple student responses onto the CTB board; deliver the CTB board to the student's screen and explain as you write.

You can have a class that discusses the lesson with the whole class, and you can have individualized and optimized learning where each student's answers drive the class forward.

Stepping Stones for your review

https://gyazo.com/3c093565042e371521791f6d70d7f472

https://youtu.be/OlmP4HVB_Xg

4th Grade Math Class - John Muir Elementary School, March, 2023

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