scholarly journals On the correctness of problem solving in ancient mathematical procedure texts

2021 ◽  
pp. 169
Author(s):  
Mario Bacelar Valente
Keyword(s):  
Problem Solving ◽  
Mathematical Procedure ◽  
Ancient Egyptian ◽  
Old Babylonian ◽  
Mathematical Texts

It has been argued in relation to Old Babylonian mathematical procedure texts that their validity or correctness is self-evident. One “sees” that the procedure is correct without it having, or being accompanied by, any explicit arguments for the correctness of the procedure. Even when agreeing with this view, one might still ask about how is the correctness of a procedure articulated? In this work, we present an articulation of the correctness of ancient Egyptian and Old Babylonian mathematical procedure texts – mathematical texts presenting the solution of problems. We endeavor to make explicit and explain how and why the procedures are reliable over and above the fact that their correctness is intuitive.

Mathematical Texts (I): The Mathematical Training of Scribes

2016 ◽  
Author(s):  
Annette Imhausen
Keyword(s):  
Teaching Mathematics ◽  
Actual Situation ◽  
Middle Kingdom ◽  
Old Kingdom ◽  
Mathematical Procedure ◽  
The Future ◽  
Mathematical Problems ◽  
Mathematical Texts

This chapter discusses mathematical texts that originated from the Middle Kingdom. While this may well be caused by the vagaries of preservation, it might be that it reflects the actual situation, that is, that mathematical texts of the kind that we have from the Middle Kingdom did not exist in earlier periods. With the reestablishment of central power by the king in the Middle Kingdom also came about a complete new organization of the administrative apparatus that was designed to be much less independent than it had been at the end of the Old Kingdom. And this may well have entailed the organization of teaching mathematics to the future scribes in a centrally organized style, with prescribed problems and their solutions. The chapter considers extant hieratic mathematical texts, mathematical procedure texts, and types of mathematical problems.

Mathematical texts

2020 ◽  
pp. 1032-1040
Author(s):  
Annette Imhausen
Keyword(s):  
Mathematical Knowledge ◽  
Primary Source ◽  
Ancient Egypt ◽  
Source Material ◽  
Ancient Egyptian ◽  
Modern Analysis ◽  
Mathematical Techniques ◽  
Mathematical Texts ◽  
The Way

Approximately a dozen mathematical papyri have survived from ancient Egypt. Based on their script (but also their stage of the Egyptian language) they fall into two groups—hieratic and demotic texts. These papyri constitute our primary source material to learn about ancient Egyptian mathematics. Because of the procedural style that they were written in, it is assumed that they were used in teaching junior scribes the mathematical techniques they would need for their job; however, the procedural format may also have constituted the way of collecting mathematical knowledge at the time. It is only if this format is taken into account in the (modern) analysis of Egyptian mathematical texts that their sophistication becomes visible, and a deeper understanding of Egyptian mathematics beyond rudimentary similarities to modern equivalents can therefore be achieved.

scholarly journals Analisis Kemampuan Pemecahan Masalah Siswa Berdasarkan Rubrik yang Dikembangkan Docktor pada Materi Suhu dan Kalor

2019 ◽  
Vol 4 (4) ◽  
pp. 524
Author(s):  
Aulia Siska Yuliana ◽  
Parno Parno ◽  
Ahmad Taufiq
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Quantitative Method ◽  
Senior High School ◽  
The Other ◽  
School Students ◽  
Mathematical Procedure ◽  
Other Hand ◽  
Senior High School Students

<p><strong>Abstract:</strong> This study was aimed to know problem solving skill of senior high school students in heat and temperature. The study was used descriptive-quantitative method and the sample of research was twelve grade students. The instruments that already used as a number of question problem solving skill had 0.732 reliability. The result was analyzed by using rubric of problem solving that already developed by Doctor. The result was obtained that problem solving skill was medium category. This category was included useful description and physics approach. On the other hand, mathematical procedure and logical progression were included as low category.</p><strong>Abstrak:</strong><em> </em>Penelitian ini bertujuan untuk mengetahui sejauh mana tingkat kemampuan pemecahan masalah siswa SMA pada materi suhu dan kalor. Metode yang digunakan dalam penelitian ini dalah deskriptif kuantitatif dan siswa kelas XII sebagai sampel dalam penelitian ini. Instrumen yang digunakan yaitu tes kemampuan pemecahan masalah dengan reliabilitas 0,732. Data hasil tes dianalisis dengan rubrik kemampuan pemecahan masalah yang dikembangkan oleh <em>Docktor</em>. Hasil peneltian menunjukkan bahwa secara keseluruhan kemampuan pemecahan masalah siswa tergolong dalam kriteria sedang. Kemampuan pemecahan masalah pada kategori <em>useful description</em>, <em>physics approach</em> dan <em>specific application of physics </em>dalam kriteria sedang, sedangkan kategori <em>mathematical procedures</em> dan <em>logical progression</em> termasuk dalam kriteria rendah.

scholarly journals Kemampuan pemahaman membaca teks dan komunikasi matematik sebagai landasan dalam pemecahan masalah

2020 ◽  
Vol 3 (2) ◽  
pp. 68-76
Author(s):  
Neneng Maryani
Keyword(s):  
Problem Solving ◽  
Conceptual Understanding ◽  
International Research ◽  
Student Understanding ◽  
Research Articles ◽  
Learning Approaches ◽  
Mathematical Communication ◽  
Mathematical Text ◽  
Mathematical Problems ◽  
Mathematical Texts

This article is a review of international research articles that specifically emphasize the discussion of the ability to read mathematical texts and communicate mathematics as a basis for problem solving. The detailed descriptions include the criteria for understanding in reading a mathematical text; the effectiveness of language-based programs in school mathematics on student understanding; the use of learning approaches and media in building conceptual understanding and communication in solving mathematical problems; and strategies to build mathematical communication.

MATHEMATICAL ASPECTS OF EARTH-MOVING LINKED TO HYDRAULIC WORKS IN UR III UMMA

Iraq ◽  
2018 ◽  
Vol 80 ◽  
pp. 15-34
Author(s):  
Sergio Alivernini
Keyword(s):  
Ur Iii ◽  
Old Babylonian ◽  
Mathematical Texts

This paper studies mathematical aspects of earthwork projects in the Ur III city of Umma, c.2053–2032 b.c. The main purpose of this paper is to describe the practical procedures involved in moving earth for hydraulic works around Umma. It also shows how Old Babylonian pedagogical “mathematical texts” about earthworks, from the early second millennium b.c., are indebted to the practical procedures adopted by Ur III officials.

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