Geometry Leveled Problem: Problem Solving--Shape Creatures

Geometry Leveled Problem: Problem Solving--Shape Creatures
Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
Total Pages: 4
Release: 2014-01-01
Genre:
ISBN: 142588573X

Differentiate problem solving in your classroom using effective, research-based strategies. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.

50 Leveled Math Problems Level 1

50 Leveled Math Problems Level 1
Author: Linda Dacey
Publisher: Teacher Created Materials
Total Pages: 148
Release: 2012-04-01
Genre: Education
ISBN: 9781425807733

It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction.

Operations and Algebraic Thinking Leveled Problems: Shape Patterns

Operations and Algebraic Thinking Leveled Problems: Shape Patterns
Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
Total Pages: 4
Release: 2014-07-01
Genre:
ISBN: 1480786268

Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to creating patterns with shapes. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.

50 Leveled Math Problems Level 4

50 Leveled Math Problems Level 4
Author: Linda Dacey
Publisher: Teacher Created Materials
Total Pages: 148
Release: 2012-04-01
Genre: Education
ISBN: 9781425807764

It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction.

Approaches to Algebra

Approaches to Algebra
Author: N. Bednarz
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2012-12-06
Genre: Education
ISBN: 9400917325

In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.

STEM-Infusing the Elementary Classroom

STEM-Infusing the Elementary Classroom
Author: Miranda Talley Reagan
Publisher: Corwin Press
Total Pages: 137
Release: 2016-02-19
Genre: Education
ISBN: 1506336973

Make learning relevant with STEM essential questions This engaging, teacher-friendly guide helps teachers quickly and confidently infuse STEM concepts into all content areas. Real-world vignettes, sample lesson templates, discussion questions and immediately applicable action steps help you seamlessly promote college and career ready skills. Use this inspiring guide to: Deepen all content areas, including English/ Language Arts Promote the 4Cs: communication, collaboration, critical thinking, and creativity Require students to take risks to solve problems Differentiate instruction and scaffold support Expand students’ specific measurable capabilities Incorporate design skills into the curricula Save valuable time and confidently develop standards-aligned STEM projects in all content areas!

Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12
Author: John Hattie
Publisher: Corwin Press
Total Pages: 209
Release: 2016-09-15
Genre: Education
ISBN: 1506362958

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.