Textbook representations of radian angle measure: The need to build on the quantitative view of angle

Hanan Alyami

doi:10.1111/ssm.12380

New Dihedral Angle Measure for Protein Secondary Prediction

Engineering and Management Innovation - Optimization in Medicine and Biology ◽

10.1201/9780849305696.ch15 ◽

2008 ◽

Author(s):

J MacGregor Smith ◽

Yunho Jang ◽

Moon Kim

Keyword(s):

Dihedral Angle ◽

Angle Measure

Angle measure, quantitative reasoning, and instructional coherence: an examination of the role of mathematical ways of thinking as a component of teachers’ knowledge base

Journal of Mathematics Teacher Education ◽

10.1007/s10857-018-9409-3 ◽

2018 ◽

Vol 23 (1) ◽

pp. 69-95 ◽

Cited By ~ 1

Author(s):

Michael A. Tallman ◽

Kristin M. Frank

Keyword(s):

Knowledge Base ◽

Quantitative Reasoning ◽

Angle Measure ◽

Instructional Coherence ◽

Ways Of Thinking

Research on Angle Measure Error Based on Method of Angle Difference

Acta Optica Sinica ◽

10.3788/aos201434.1012003 ◽

2014 ◽

Vol 34 (10) ◽

pp. 1012003

Author(s):

陈海平 Chen Haiping ◽

李佳斌 Li Jiabin ◽

刘长春 Liu Changchun ◽

熊召 Xiong Zhao ◽

周海 Zhou Hai ◽

...

Keyword(s):

Angle Measure ◽

Angle Difference ◽

Measure Error

eAMTexplorer: a software package for texture and signal characterization using Angle Measure Technique

Journal of Chemometrics ◽

10.1002/cem.1160 ◽

2008 ◽

Vol 22 (11-12) ◽

pp. 717-721 ◽

Cited By ~ 5

Author(s):

Knut Kvaal ◽

Sergei V. Kucheryavski ◽

Maths Halstensen ◽

Simen Kvaal ◽

Andreas S. Flø ◽

...

Keyword(s):

Software Package ◽

Angle Measure ◽

Angle Measure Technique ◽

Signal Characterization ◽

Measure Technique

The AMT Features Extraction from Batch Drilling Step Monitor Signals and its Applications

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.718-720.517 ◽

2013 ◽

Vol 718-720 ◽

pp. 517-520

Author(s):

You Hang Zhou ◽

Qiao Zhang

Keyword(s):

Principal Component Analysis ◽

High Precision ◽

Principal Component ◽

Normalization Method ◽

Drilling Process ◽

Angle Measure ◽

Angle Measure Technique ◽

Spindle Power ◽

Measure Technique

Angle Measure Technique (AMT) algorithm is proposed to analyze the quality of batch drilling process in this paper. The groups spindle power (SP) signals of batch drilling were preprocessed by the normalization method, and then the AMT was used to extract the scale features of monitor signals from local to global. By the method of Principal Component Analysis (PCA), the dimensionality of these scale features was reduced to obtain a distribution of the step quality of batch drilling. The results indicate that this method can be used for observation of high precision cutting step quality.

A perimeter-based angle measure in Minkowski planes

Aequationes Mathematicae ◽

10.1007/s00010-017-0526-3 ◽

2017 ◽

Vol 92 (1) ◽

pp. 135-163 ◽

Cited By ~ 3

Author(s):

Martin Obst

Keyword(s):

Angle Measure ◽

Minkowski Planes

Quantitative Reasoning and the Sine Function: The Case of Zac

Journal for Research in Mathematics Education ◽

10.5951/jresematheduc.45.1.0102 ◽

2014 ◽

Vol 45 (1) ◽

pp. 102-138 ◽

Cited By ~ 25

Author(s):

Kevin C. Moore

Keyword(s):

Student Learning ◽

Undergraduate Student ◽

Teaching Experiment ◽

Quantitative Reasoning ◽

Sine Function ◽

Trigonometric Functions ◽

Angle Measure ◽

Covariational Reasoning ◽

Growing Body

A growing body of literature has identified quantitative and covariational reasoning as critical for secondary and undergraduate student learning, particularly for topics that require students to make sense of relationships between quantities. The present study extends this body of literature by characterizing an undergraduate precalculus student's progress during a teaching experiment exploring angle measure and trigonometric functions.

A perimeter-based angle measure in generalized Minkowski planes

Journal of Geometry ◽

10.1007/s00022-019-0480-4 ◽

2019 ◽

Vol 110 (2) ◽

Cited By ~ 1

Author(s):

Alina Obst

Keyword(s):

Angle Measure ◽

Minkowski Planes

- Angles, Angle Measure, and Plane Separation

College Geometry ◽

10.1201/9781439895221-5 ◽

2011 ◽

pp. 70-111

Keyword(s):

Angle Measure

A Non-Euclidean Distance

Mathematics Teacher ◽

10.5951/mt.64.7.0595 ◽

1971 ◽

Vol 64 (7) ◽

pp. 595-600

Author(s):

Stanley R. Clemens

Keyword(s):

Distance Function ◽

Euclidean Distance ◽

Euclidean Plane ◽

Plane Geometry ◽

Synthetic Approach ◽

Real Numbers ◽

Angle Measure ◽

The Real ◽

Measure Function

There are basically two approaches to classical Euclidean plane geometry—the synthetic approach and the metric approach. The older of the two is the synthetic approach followed by Eucliding later by Hilbert. In the Eucliding treatment, one begin by assuming as undefined the relations of betweenness, congruence of segments, and congruence of angles. The metric treatments, initiated by G. D. Birkhoff in the 1930s, assumes the existence of the real numbers (or a set of postulates that guarantees the existence of the real numbers) and the existence of a distance function d and an angle-measure function m.