More on Geometric Sequence vs Proof Fidget

The DOST Courseware is a locally-produced, all-original Filipino highly interactive multimedia educational application packages that are conceptualized, digitized and produced as spearheaded by the Science Education Institute (SEI-DOST) in partnership with the Advanced Science and Technology Institute (ASTI-DOST) and in cooperation with the Department of Education (DepEd), Philippine Normal University (PNU) and University of the Philippines-National Institute for Science and Mathematics Education (UP-NISMED), which aims to develop information and communication technology learning innovation to support the upgrading and improvement of science and mathematics education in the country. The DOST Courseware are provided for free to schools and are also made available online as supplemental resources for teachers and student as a fun and interactive approach to e-learning and blended learning. The Grade 7 DOST Courseware is composed of 120 lessons overall, 73 lessons in Science where it covered the domains on: Matter; Force, Motion and Energy, Living Things and Their Environment and Earth and Space while the 60 lessons in Mathematic covered the domains on: Numbers and Number Sense, Patterns and Algebra, and Geometry. The Grade 8 DOST Courseware is composed of 118 lessons overall, 61 lessons in Science where it covered the domains on: Parts and Functions, Ecosystems, Heredity: Inheritance and Variation of Traits, Structures and Functions, Biodiversity, and Evolution, while the 57 lessons in Mathematics covered the domains on: Linear Equations, Quadratic Equations, Rational Algebraic Equations, Integral Exponents, Radicals, Arithmetic Sequence and Geometric Sequence. The themes of the courseware for Grades 7 and 8, Magicademy, Freddy’s Lab and D’nayao will surely amuse the users as they explore these distinct worlds while learning at the same time.

ProofFidget is a puzzle-driven way to learn the feel of doing math: not by memorizing procedures, but by making correct moves, one step at a time, until a proof truly holds together. Each puzzle gives you a clear goal and a partially-complete derivation. You spin the wheel to choose your next move, then commit to a step and watch the proof line up. If you’re right, you progress; if you’re wrong, you learn quickly why it didn’t fit. The result is a tight feedback loop that makes abstract ideas concrete and surprisingly fun. You’ll work across a growing set of subjects, including: Logic and proof techniques: build confidence with implication, contradiction, and structured reasoning. Algebra: make valid transformations while keeping equations balanced, supported by visual “balance scale” diagrams. Number theory: practice modular arithmetic, divisibility, and gcd-style reasoning with intuitive visuals. Geometry and beyond: use diagrams to ground symbolic steps in something you can see. ProofFidget is designed for short, satisfying sessions, but it also rewards deeper play: you start noticing patterns, choosing steps for the right reasons, and developing proof instincts that transfer to real coursework and problem-solving. If you’ve ever thought “I understand the formula, but I don’t understand why,” ProofFidget is built for that moment.