Delving Deeper: Approximating π Using Similar Triangles

Ryota Matsuura

doi:10.5951/mathteacher.105.8.0632

Delving Deeper: Approximating π Using Similar Triangles

Mathematics Teacher ◽

10.5951/mathteacher.105.8.0632 ◽

2012 ◽

Vol 105 (8) ◽

pp. 632-636

Author(s):

Ryota Matsuura

Keyword(s):

Middle School ◽

Unit Circle ◽

Middle School Teachers ◽

Geometric Construction ◽

Regular Polygons ◽

Repeated Application ◽

School Teachers ◽

Similar Triangles

This article presents a method for approximating π using similar triangles that was inspired by the author's work with middle school teachers. The method relies on a repeated application of a geometric construction that allows us to inscribe regular polygons inside a unit circle with arbitrarily large number of sides.

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Most Middle School Teachers Show High Levels of Stress, Indicates Study

Leader Mag Digital Object Group ◽

10.1044/leader.rib2.25052020.15 ◽

2020 ◽

Keyword(s):

Middle School ◽

Middle School Teachers ◽

School Teachers

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Violence prevention: What middle school teachers and students should know

PsycEXTRA Dataset ◽

10.1037/e511192004-001 ◽

1996 ◽

Keyword(s):

Middle School ◽

Violence Prevention ◽

Middle School Teachers ◽

School Teachers ◽

Teachers And Students

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Middle school teachers' philosophies of teaching, learning, and student belonging

PsycEXTRA Dataset ◽

10.1037/e522942008-001 ◽

2008 ◽

Author(s):

Sharon L. Nichols

Keyword(s):

Middle School ◽

Middle School Teachers ◽

School Teachers ◽

Teaching Learning ◽

Student Belonging

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Technology integration expertise among middle school teachers

PsycEXTRA Dataset ◽

10.1037/e577272012-040 ◽

2004 ◽

Author(s):

Judy L. Lambert ◽

Sharolyn Converse Lane

Keyword(s):

Middle School ◽

Technology Integration ◽

Middle School Teachers ◽

School Teachers

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Using Ecological Momentary Assessment to Study Job Stress Process in Middle School Teachers

PsycEXTRA Dataset ◽

10.1037/e651092012-001 ◽

2012 ◽

Cited By ~ 1

Author(s):

Teresa M. McIntyre ◽

Scott E. McIntyre ◽

Paras Mehta ◽

Angelia Durand ◽

David Francis ◽

...

Keyword(s):

Middle School ◽

Job Stress ◽

Middle School Teachers ◽

Ecological Momentary Assessment ◽

Stress Process ◽

School Teachers ◽

Ecological Momentary ◽

Momentary Assessment

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Middle School Teachers’ Understanding of “Student-Participatory Class”

The journal of Educational Studies ◽

10.15854/jes.2017.06.48.2.141 ◽

2017 ◽

Vol 48 (2) ◽

pp. 141-165 ◽

Cited By ~ 1

Author(s):

Jong-A Lee ◽

Kyunghee So

Keyword(s):

Middle School ◽

Middle School Teachers ◽

School Teachers

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A Comparative Study on Brain Preference and Music Teaching Style of Elementary and Middle School Teachers According to Alert Scale of Cognitive Style

Institute of Brain-based Education Korea National University of Education ◽

10.31216/bdl.2019.9.3.271 ◽

2019 ◽

Vol 9 (3) ◽

pp. 271-280

Author(s):

Yunhee Seung

Keyword(s):

Middle School ◽

Comparative Study ◽

Cognitive Style ◽

Middle School Teachers ◽

Teaching Style ◽

Music Teaching ◽

School Teachers ◽

Elementary And Middle School

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Relations Between Daily in-School Emotional Experiences and Burnout In Middle School teachers: Using the Experience Sampling Method

The Institute of Educational Research Chonnam National University ◽

10.35510/jer.2019.41.2.41 ◽

2019 ◽

Vol 41 (2) ◽

pp. 41-63

Author(s):

Youngbae Kim ◽

Hyeonsook Shin

Keyword(s):

Middle School ◽

Middle School Teachers ◽

Sampling Method ◽

Experience Sampling ◽

Experience Sampling Method ◽

Emotional Experiences ◽

School Teachers

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Mediation Effect of Middle School Teachers’ Personal Norms in the Relation Between Perceived Social Norms and Intention to Implement Social and Emotional Learning

The Journal of Humanities and Social sciences 21 ◽

10.22143/hss21.10.2.22 ◽

2019 ◽

Vol 10 (2) ◽

pp. 303-318

Author(s):

Hyeonsook Shin

Keyword(s):

Middle School ◽

Social Norms ◽

Middle School Teachers ◽

Social And Emotional Learning ◽

Emotional Learning ◽

Mediation Effect ◽

School Teachers ◽

Social And Emotional ◽

Personal Norms ◽

Perceived Social Norms

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A Study on the Relationship between Middle School Teachers’ Professional Development and Learner-Centered Instruction

Korean Association For Learner-Centered Curriculum And Instruction ◽

10.22251/jlcci.2019.19.8.685 ◽

2019 ◽

Vol 19 (8) ◽

pp. 685-405

Author(s):

Ho Soo Kang

Keyword(s):

Professional Development ◽

Middle School ◽

Middle School Teachers ◽

School Teachers ◽

Learner Centered ◽

Teachers Professional Development ◽

The Relationship

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