Equation Balance
Inverse operations, equalities, and checking solutions.
Open lab →
Classroom practice · documentary evidence · research · EdTech
Educational projects with a traceable story.
This portfolio presents selected work as cases: what was created, what students were invited to do, what evidence exists, and how classroom ideas evolved into digital learning experiences.
Made for English-speaking learners
HUBMATH EDUCATION · Interactive Math Labs
Original English-language activities built around guided explanations, mathematical reasoning, and hands-on experiments, with an initial focus on Virginia's 2023 Mathematics Standards of Learning.
Unit Rate Lab
Proportional thinking and everyday mathematics.
Open lab →Linear Explorer
Changing slope and intercept in real time.
Open lab →Factoring Explorer
Equivalent expressions and quadratic patterns.
Open lab →Featured case · Rubik's Cube
From a physical puzzle to strategic mathematical thinking.
The Rubik's Cube project began in 2011 and later continued in other educational contexts. At EMEF Veremundo Toth, the 2023 MATH NEWS record describes students manipulating the cube and being encouraged to learn how to solve it.
- Pattern recognition
- Sequential and algorithmic thinking
- Spatial reasoning
- Planning and anticipation
- Persistence and revision
- Comparing solution strategies
Documented school practice
MATH NEWS: two English editions, two snapshots of mathematics in action.
The newsletters make the portfolio inspectable. They preserve activities, student participation, school projects, and the educational language of the period.
Issue 1 · May 2023
Mathematics Week
Poetry, film, Tangram, four operations, Rubik's Cube, spaghetti towers, leadership, entrepreneurship, and activities across multiple school groups.
Issue 2 · June 2024
Mathematics in Action
OBMEP, Malba Tahan presentations, checkers, chess, operations challenges, Rubik's Cube, spaghetti towers, artistic work, cinema, poetry, and future-project planning.
01Geometry by makingTangram and construction tasks.
02Strategy through gamesChess, checkers, and logic challenges.
03Engineering-style challengeSpaghetti towers, teamwork, testing, and revision.
04Mathematics through cultureFilm, poetry, and Malba Tahan presentations.
05Competition & problem solvingOBMEP and four-operations challenges.
06Student voiceArt, presentations, entrepreneurship, and school participation.
Challenge-based learning
Knowledge Olympics and MatematicaToth are related in spirit, but distinct in format.
The portfolio keeps their purposes clear.
Knowledge Olympics
A social-engagement initiative using logic and reasoning challenges to stimulate participation and connect learners through virtual competitions.
View project ↗16 Knowledge Stations
MATH NEWS No. 2 records a future-project plan for the Science and Technology Week with 16 knowledge stations through which students would move during a mathematics challenge event.
See the record ↗Educational technology
Three products show how instructional design moved into digital learning.
Real product visuals are used below. The portfolio identifies the educational problem, the learning structure, and the creator's role.
ENEM · Brazil
Exam preparation with structure
Practice by area, simulated experiences, review, and study direction for Brazil's national high-school examination.
Role: concept, instructional design, content architecture, and educational product development.
Open HUBMAT ENEM ↗
ETEC · Google Play + web
Preparation built from previous examinations
Study by area, previous-exam questions, quick practice, error review, and progress tracking for São Paulo technical-school admissions.
Role: concept, educational architecture, content organization, and product direction.
View on Google Play ↗
HUBMAT · Google Play + web
Exploration, practice, progress, and student choice
A structured mathematics-learning experience with pathways, challenges, applications, progress, and rewards.
Role: concept, learning architecture, curricular organization, and educational product direction.
View on Google Play ↗Broader Brazilian portfolio
More ways to enter a mathematical idea.
The Portuguese-language HUBMAT portfolio includes multiple formats, each serving a different learning purpose.
RepresentVisual MathematicsSee relationships and structuresProgressMathematical PathwaysMove from exploration to masteryPlayMathematics GamesLogic, strategy, and decision-makingPractice dailyHUBMAT 5minShort, focused learning sessionsRead & imagineMathematical StoriesNarratives and charactersExperimentMathematics SimulatorsChange values and observe results
Research-informed design
See. Explore. Question. Practice. Explain. Apply.
This sequence is not a rigid recipe. It is a design lens that appears repeatedly across physical projects, visual tools, games, pathways, apps, and the English-language math labs.
The goal is to help students move from receiving procedures to actively making sense of mathematical structure.
Explore the Research & Professional Path →What the projects repeatedly ask learners to do
- Notice patterns and relationships
- Manipulate or test an idea
- Compare strategies
- Practice with feedback
- Explain reasoning
- Transfer learning to another context
Evidence library
Primary sources and public product records.
Use these links to inspect documents, research, and published digital products directly.
MATH NEWS 2023 · EnglishSchool mathematics project record↗
MATH NEWS 2024 · EnglishExpanded project documentation↗
Professional Master's DissertationUniversity of São Paulo · ICMC/USP↗
HUBMAT ETEC · Google PlayPublished Android educational product↗
HUBMAT · Google PlayPublished Android mathematics product↗
From evidence to experience
See what was built — then try the mathematics yourself.
Explore the documented portfolio or move directly into the free English-language Math Labs.