(1) Easy Exercises in Algebra for Beginners (2) Plane Geometry for Secondary Schools (3) Cartesian Plane Geometry Part i (4) A Sequel to Elementary Geometry (5)Text-book of Mechanics Vol ii (6) Elementary Statics (7) Elementary Trigonometry With Answers

Nature ◽  
1908 ◽  
Vol 77 (1997) ◽  
pp. 315-317
Keyword(s):  
Secondary Schools ◽  
Plane Geometry ◽  
Elementary Geometry ◽  
Text Book ◽  
Cartesian Plane

scholarly journals PHYSICS. TEXT-BOOK FOR SECONDARY SCHOOLS.

1903 ◽  
Vol 25 (1) ◽  
pp. 106-106
Author(s):  
W. R. Whitney
Keyword(s):  
Secondary Schools ◽  
Text Book

News Notes

1925 ◽  
Vol 18 (2) ◽  
pp. 121-124
Keyword(s):  
High School ◽  
Problem Solving ◽  
Deductive Reasoning ◽  
Plane Geometry ◽  
Elementary Geometry ◽  
Technical High School ◽  
Different Types ◽  
Actual Space

Mr. J. O. Pyle of the Harrison Technical High School (Chicago) has recently published, with P. Blakiston's Son and Company, an experimental edition of a textbook in plane geometry. In that text, according to Mr. Pyle, the “solution of actual space problems by live students is given first importance. This is because problem solving is the more difficult and more meaningful for the student's life. Deductive reasoning is given that emphasis it merits and not more. What proofs are written out in full, are written with care, and are given as examples of what rigid proofs should be; sample arguments of all the different types usually occurring in elementary geometry.

Non-Euclidean Geometry

1922 ◽  
Vol 15 (8) ◽  
pp. 445-459
Author(s):  
W. H. Bussey
Keyword(s):  
Elementary Theory ◽  
Elementary Geometry ◽  
Columbia University ◽  
Text Book ◽  
Non Euclidean Geometry ◽  
Pure Mathematics ◽  
Standard Text ◽  
Euclid’S Elements ◽  
Systematic Exposition ◽  
Standard Text Book

About 2200 years ago there was published in Greek one of the most remarkable books of all times, Euclid's “Elements of Geometry”. It contains a systematic exposition of the leading propositions of elementary geometry and the elementary theory of numbers. It was at once adopted by the Greeks as the standard text book on pure mathematics. The parts that relate to elementary geometry were the standard text book for centuries and are still in use in England to-day. The English school boy does not say “Geometry”, he says “Euclid”. On the Continent of Europe “Euclid” was superseded by Legendre's “Elements of Geometry”, the first edition of which was published in 1794. A translation into English by a man named Davies was widely used in this country. (It was used at Columbia University as late as 1905). But that has been superseded by more modern American texts of which there is now a large number.

scholarly journals Activity-based Learning and Development of High Mental Abilities an Intention of Intermediate Level Chemistry Syllabus

2019 ◽  
Vol 1 (2) ◽  
pp. 115-126
Author(s):  
Swehra Moeed
Keyword(s):  
Secondary Schools ◽  
Likert Scale ◽  
Intermediate Level ◽  
Practical Work ◽  
Assessment Procedure ◽  
Learning And Development ◽  
Text Book ◽  
Educational Activities ◽  
Course Content ◽  
Mental Abilities

Course content is a hub of educational activities. The method of teaching and assessment procedure more or less rely on the nature of syllabus. Being core of educational activities great importance is given to course content.  This study was conducted to investigate the opinion of teachers concerning existing syllabus of intermediate level chemistry subject. The data was gathered through questionnaire based on 5 point Likert scale items. Sixty three teachers of chemistry subject were working at Government Degree Colleges (GDCs) and Government Higher Secondary Schools (GHSSs) of district Peshawar. Among sixty three fifty seven teachers were selected randomly as sample of study. The collected data prevail that the implemented syllabus is mostly based on theory, hence in such circumstance the national aim to produce skill generation as per demand of market seem impossible. The condition of practical work and hand on activities is dispiriting in government educational institutes. The psychological and social need of students has been ignored while designing the syllabus. The text book is a mean of imparting pre-set information, it seems failed to provide valuable engaging activities.

scholarly journals A Mechanical Verification of  the Independence of Tarski's  Euclidean Axiom

2021 ◽  
Author(s):  
◽  
Timothy James McKenzie Makarios
Keyword(s):  
Projective Plane ◽  
Hyperbolic Plane ◽  
Axiom System ◽  
Plane Geometry ◽  
Mechanical Verification ◽  
The Real ◽  
Cartesian Plane ◽  
Proof Verification

<p>This thesis describes the mechanization of Tarski's axioms of plane geometry in the proof verification program Isabelle. The real Cartesian plane is mechanically verified to be a model of Tarski's axioms, thus verifying the consistency of the axiom system. The Klein–Beltrami model of the hyperbolic plane is also defined in Isabelle; in order to achieve this, the projective plane is defined and several theorems about it are proven. The Klein–Beltrami model is then shown in Isabelle to be a model of all of Tarski's axioms except his Euclidean axiom, thus mechanically verifying the independence of the Euclidean axiom — the primary goal of this project. For some of Tarski's axioms, only an insufficient or an inconvenient published proof was found for the theorem that states that the Klein–Beltrami model satisfies the axiom; in these cases, alternative proofs were devised and mechanically verified. These proofs are described in this thesis — most notably, the proof that the model satisfies the axiom of segment construction, and the proof that it satisfies the five-segments axiom. The proof that the model satisfies the upper 2-dimensional axiom also uses some of the lemmas that were used to prove that the model satisfies the five-segments axiom.</p>

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