Description FACTO (Free Active Creative Thinking O. Junior mathtian) is a junior mathematician who thinks freely, confidently, and creatively. This book is a creative thinking math exploration workbook designed for advanced students, presenting representative problem types across 180 key creative-thinking topics by subject area, allowing students to build problem-solving skills and reasoning ability through hands-on practice. It also serves as an in-depth creative-thinking workbook that can be used to prepare for various domestic and international competitions, as well as university-affiliated and school district gifted education programs. 1) Composed of Representative Creative-Thinking Topics by Level Each level is carefully organized around key representative creative-thinking topics, allowing students to explore problem types through diverse approaches and study them in depth. By presenting representative problem types for each key theme, students can understand underlying principles and approach problems systematically by following the flow of reasoning. 2) Type Analysis for Gifted Classes, Gifted Education Centers, and Competitions With the expansion of eligibility for gifted education, this book is composed of representative problem types frequently featured in gifted education center exams, helping students gradually prepare for gifted classes and gifted education centers. 3) Rich and Thorough Manual The manual provides detailed explanations for each problem and allows students to grasp key points at a glance. Rather than simply solving problems and checking answers, students can study effectively on their own without missing important concepts. 4) Diagnostic and Comprehensive Assessments Provided A diagnostic assessment available on the Mathtian website (http://www.mathtian.com) helps determine the appropriate level of the workbook, while a comprehensive assessment after completing the book allows students to check their achievement. 5) Online Services Provided Through the Naver Cafe (http://cafe.naver.com/factos.cafe), various creative-thinking materials and learning information are continuously provided, including methods for early childhood and elementary math learning, past and predicted questions for gifted education centers, video lectures, and Q&A. Ⅰ. Numbers and Operations 01 Number Arrangement Puzzles 02 Cryptarithms 03 Four Fours (4 Numbers Puzzle) Ⅱ. Language and Logic 04 Number Puzzles 05 Nim Game 06 Strategy Games Ⅲ. Shapes 07 Mirror Reflections 08 Combining Shapes 09 Folding and Overlapping Colored Paper Ⅳ. Patterns and Problem-Solving 10 Patterns in Number of Shapes 11 Sierpinski Triangle 12 Intersections and Regions Ⅴ. Measurement 13 Perimeter of Plane Figures 14 Measurable Lengths and Weights 15 Broken Clocks Ⅵ. Numbers and Operations 01 Making Numbers with Number Cards 02 Grouping and Adding 03 Fractions Ⅶ. Language and Logic 04 Shape Analogies 05 Deduction Tables 06 Arrangements Ⅷ. Shapes 07 Perpendicular and Parallel Lines 08 Tessellations 09 Folding and Angles Ⅸ. Number of Cases 10 One-Stroke Drawing 11 Number of Shortest Paths 12 Leagues and Tournaments Ⅹ. Patterns and Problem-Solving 13 Persuasive Arguments 14 Roadside Trees and Logs 15 Calendars