Math Prac Planet
When math
becomes alive
From theory to real-life applications
Mathematics · High School
Teaching System
Theory combined with practical projects
📐
Geometry
Design
- Compass and straightedge constructions
- Polyhedral lamps
-
Go to project
📊
Statistics
Hypothesis testing
Mortgage Lending
Algebra · Three stages — real data, real calculations
Stage 1
Real Estate Market
Each participant selects an apartment in a real market segment: price, area, location.
→ Data collection and analysis
Stage 2
Mortgage Calculations
Annuity and differentiated payments. Overpayments. Comparison of bank conditions.
→ Sequences in action
Stage 3
Team Presentation
City, segment, banks — team analysis and financial recommendations.
→ Communication of results
Polyhedral Lamps
Geometry · From paper nets to working lamps
Stage 1
Nets and constructions
Students study polyhedron nets, choose parameters, and build paper models using compass and straightedge.
→ Geometry and precision
Stage 2
Clay models
The paper net becomes a template for a clay model. A flat shape turns into a 3D object.
→ Spatial thinking
Stage 3
Final lamp
The model is decorated and equipped with electrical components. Mathematics becomes a tangible object.
→ Design and engineering
Delivery Speed
Statistics · Own data — own conclusions
Stage 1
Data collection
Students record their travel time to school over one or two weeks. The class gathers hundreds of observations.
→ Real sample
Stage 2
Data analysis
Median, quartiles, standard deviation. Boxplot for visualizing distribution.
→ Descriptive statistics
Stage 3
Hypothesis testing
Students formulate hypotheses at the beginning — now they test them using data and discuss sources of error.
→ Statistical thinking
The methodology is under review
Two independent peer reviews in international journals
Mathematics Teacher:
Learning & Teaching PK–12
Mortgage Mathematics Through Project-Based Learning
Education · under review
The College
Mathematics Journal
A Calculus of Mortgage Amortization: Annuity and Differentiated Payments
Mathematics · under review
One article for teachers, another for mathematicians.
One methodology — two perspectives.