Site Map

Students

• Elementary
• Do online activities to learn about Turns and Sectors (elementary)
• Download Circular Reasoning to learn about angles, explain what you've learned, and create art (elementary)
• Learn to describe, measure and create angles and how they relate to turns and sectors
• Deepen your understanding of angles, shapes and rational numbers with Rational Numbers in Geometry online activities (elementary)
• Learn how to control turtle behavior, create cool patterns, and tell stories with MicroWorlds Logo
• Secondary
• Learn about algebra using the online textbook Beginning Algebra and MSWLogo or Berkeley Logo
• Use NetLogo to explore Statistical Research
• Get an introduction to trignometry by drawing triangles with Logo
• Use Logo to learn the basics of precalculus
• Explore visual art through programming

Parents

• Arrange private tutoring in math or computer science for your child in grades 1 through 12
• See the local and online classes I'm teaching through Northwestern University's Center for Talent Development
• Find out about ongoing and upcoming studios I teach at Chiaravalle Montessori School

Teachers

New information on my upcoming talks at NCTM conferences and a new article on introducing turtle geometry in the Montessori classroom.

• Read about an activity that helps young children distinguish the angle attribute from other attributes like area or length..
• Learn how to use Fraction Circles and Polygons. to help kids learn about external angles and prepares them to draw polygons in Logo.
• Understand the math behind the pattern found on the top of Montessori's binomial cube box.

Curriculum and educational software designers

• Mining Montessori Design Patterns
• Montessori Design Patterns
• Colored Sectors:  Applying a Montessori Design Pattern to the Problem of Angle Representation
• Circular Reasoning: Applying Montessori Design Patterns to Development of Software that Supports Explorations in Geometry for Elementary School Children

Researchers

• For my research, I start with the idea that Montessori's design principles can and should be used to develop educational software that helps kids understand geometry
• I'm planning a literature review of related background material.
• I'm also looking for ways to apply Contextual Inquiry in Montessori classrooms to educational curriculum, materials and software design.
• From a review of literature, Contextual Inquiry, and my own recollections and experiences, I'd like to collect a set of design patterns that others find useful.
• I also want to test out my designs, design process, and design patterns.
• Ultimately, this should help me refine and implement a number of lesson ideas.
• I'd also like to learn more about what other Montessorians are doing with computers.
• And I'd like to share outcomes of my own work, like my Thinking About Circles class.

Leone Learning Systems, Inc. (LLS) is a North Shore company that provides online courses for kids anywhere and local teaching and tutoring services for students in Chicago and the Northern Suburbs of Chicagoland. LLS also provides a free geometry software package for children age 6 and up, and free resources for teachers and parents. This site includes information about tutoring and classes provided, learning activities for kids, lesson plans, and ongoing software and curriculum research and development efforts.

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Downloads

• Circular Reasoning
• Tetrominoes
• Cycloids

Related Links

Gifted Education

• Center for Talent Development at Northwestern University
• Johns Hopkins Center for Talented Youth
• Vanderbuilt Programs for Talented Youth
• Program for the Exceptionally Gifted at Mary Baldwin College
• National Association for Gifted Children
• National Consortium for Specialized Schools of Mathematics, Science and Technology

Montessori

• American Montessori Society (AMS)
• Association Montessori Internationale (AMI)
• North American Montessori Teacher's Association (NAMTA)
• Montessori Online
• Montessori and Technology
• The Montessori Teachers Collective

Online Learning

• CTY Online
• Gifted Learning Links
• K12
• Virtual Nerd
• YourTeacher.com

Curriculum and Instruction

• Understanding by Design, Expanded 2nd Edition
• Understanding by Design Professional Development Workbook
• Integrating Differentiated Instruction & Understanding by Design

Math

• National Council of Teachers of Mathematics (NCTM)
• Math Forum @ Drexel
• Wolfram Education Portal
• Math Ed Resources from MMC
• AP Calculus AB
• AP Calculus BC
• AP Statistics

Logo

• MicroWorlds Logo
• Rupert Russell's MicroWorlds Logo Links & Examples
• Berkeley Logo
• MSWLogo
• BFOIT jLogo
• NetLogo
• Logo Foundation

Java

• Java Engagement for Teacher Training (JETT)
• New to Java Programming Center — Young Developers
• BlueJ
• Greenfoot
• Jeliot
• jGRASP
• Robocode
• Pre-AP Computer Science
• AP Computer Science A
• AP Computer Science AB
• Killer Game Programming in Java

Other Programming Resources

• Scratch
• Squeak
• Alice

Patterns and Design

• Interaction Design Patterns
• The Pattern Gallery
• InContext
• The Design Based Research Collective

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