Penerapan model quantum learning untuk meningkatkan reading comprehension teks matematik pada siswa kelas VIII-2 SMPN 6 Malang

Preliminary observations conducted in class VIII-2 SMPN 6 Malang showed that students have not developed their reading comprehension of mathematical text. So selected class action research (CAR) to overcome these problems, with the purpose of improving students’ reading comprehension skills.The research was successful after the implementation of cycle II with the average of each criteria is first criteria 76 percent, second criteria 87,67 percent, and the third criteria 76,3 percent. While the average percentage of success cycle 1 is 55.4 percent and increased in cycle 2 to 79.99 percent. Observasi awal yang dilakukan di kelas VIII-2 SMPN 6 Malang menunjukkan siswa kurang untuk mengembangkan kemampuan reading comprehension pada teks matematik. Sehingga dipilih penelitian tindakan kelas (PTK) untuk mengatasi permasalahan tersebut, dengan tujuan meningkatkan kemampuan reading comprehension siswa. Penelitian ini berhasil setelah pelaksanaan dalam siklus II dengan rata-rata tiap kriteria yakni kriteria pertama 76 persen, kriteria ke-dua 87,67 persen, dan kriteria ke-tiga 76,3 persen. Sedangkan rata-rata presentase keberhasilan siklus 1 adalah 55,4 persen dan meningkat pada siklus 2 menjadi 79,99 persen.

Peculiarities of complex sentences with object clauses in the texts of mathematical works in the english and french languages

The aim of the article is to study the basic structural and semantic qualities of two-component complex sentences with object clauses functioning in mathematical works in English and French. The works of outstanding modern mathematicians in the field of differential geometry and algebraic topology served as a material for the research. Using the technique of continuous sampling the authors extracted the sentences to be studied. The basic principles of communicative grammar, structural and semantic analysis, as well as statistical methods to process the extracted material, were applied. For the difficult material to be apprehended properly the language of mathematical works must obey some definite syntactical laws. Complex sentences with clear subordination of clauses favor to a great extent the logical consecutive statement of the mathematical text. Having a more complicated structure than simple sentences they are more evident in semantic facilitating apprehension of the information being conveyed. Constructions with object clauses are highly productive among the complex sentences of the inseparable type. As a rule, it is the subordinate clause that contains somewhat new that promotes the advancement of the course of reasoning whereas the main clause is assigned only an auxiliary part. The article covers such important features of the studied sentences as the position and construction of the main and subordinate clauses, their means of connection, morphological and semantic properties of the subordinating word, etc. In the course of analysis of these structures in the two languages, some common features (for example, the absolute predominance of the preposition of the main clause), as well as considerable differences (for example, the absence of a conjunction in English) are revealed, which should be taken into account at working with the texts of mathematical works in these languages.

Onto-semiotic complexity of the Definite Integral

Teaching and learning Calculus concepts and procedures, particularly the definite integral concept, is a challenge to teachers and students in their academic careers. In order to develop an informed plan for improving instructional processes, it is necessary to pay attention to the nature and complexity of the mathematical features of the definite integral, that students are expected to understand and apply. In this research, we supplement the analysis made by different authors, applying the theoretical and methodological tools of the Onto-Semiotic Approach to mathematical knowledge and instruction. The goal is to understand the diverse meanings of the concept of the definite integral and potentials semiotic conflicts based on the given data. We focus attention on a first intuitive meaning, which involves mainly arithmetic knowledge, and the definite integral formal meaning as Riemann’s sums limit predominantly in the curricular guidelines. The recognition of the onto-semiotic complexity of mathematics objects is considered as a key factor in explaining the learning difficulties of concepts, procedures and its application for problem-solving, as well as to make grounded decisions on teaching. The methodology analysis of a mathematical text, which we exemplify in this work applying the tools of Onto-Semiotic Approach, provides a microscopic level of analysis that allows us to identify some semiotic-cognitive facts of didactic interest. This also allows for the identification of some epistemic strata, that is, institutional knowledge that should have been previously studied, which usually goes unnoticed in the teaching process.

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

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.

Mapping a university’s research outputs to the UN Sustainable Development Goals

The UN Sustainable Development Goals (SDGs) provide a framework to achieve sustainable development and fulfilling these Goals will take an unprecedented effort by all sectors in society. Many universities and businesses are using the Goals within their strategies and sustainability reporting. However, this is difficult as there is currently no standard methodology to map the 17 goals, 169 targets and 232 indicators. Work at the University of Leicester has focused on developing a robust methodology to map a higher education institution’s (HEI’s) research contribution to the Goals. We have integrated this unique methodology into an automated software tool to measure a university’s academic contribution to the Goals using mathematical text mining techniques. Our ability to quickly and effectively map institutions’ research contributions has boosted our ambitions and efforts to develop software to map the full operations of an HEI or business.

Mathematical Philology in the Treatise on Double False Position in an Arabic Manuscript at Columbia University

This article examines an Arabic mathematical manuscript at Columbia University’s Rare Book and Manuscript Library (or. 45), focusing on a previously unpublished set of texts: the treatise on the mathematical method known as Double False Position, as supplemented by Jābir ibn Ibrāhīm al-Ṣābī (tenth century?), and the commentaries by Aḥmad ibn al-Sarī (d. 548/1153–4) and Saʿd al-Dīn Asʿad ibn Saʿīd al-Hamadhānī (12th/13th century?), the latter previously unnoticed. The article sketches the contents of the manuscript, then offers an editio princeps, translation, and analysis of the treatise. It then considers how the Swiss historian of mathematics Heinrich Suter (1848–1922) read Jābir’s treatise (as contained in a different manuscript) before concluding with my own proposal for how to go about reading this mathematical text: as a witness of multiple stages of a complex textual tradition of teaching, extending, and rethinking mathematics—that is, we should read it philologically.

World as (Arabic) Text: Mīr Dāmād and the Neopythagoreanization of Philosophy in Safavid Iran

The heavily Neoplatonic and antiquarian-perennialist tenor of Safavid philosophy is now widely recognized by specialists; but few have acknowledged its equally notable Neopythagorean turn. Likewise, that the primary mode of applied Neoplatonic-Neopythagorean philosophy as a Safavid imperial way of life was occult science has been ignored altogether, making impossible a history of its practice. The case of the Twelver Shiʿi sage-mage Mīr Dāmād – famed down to the present as an occult scientist – is here especially illustrative: for he was largely responsible for this Neopythagoreanization of Safavid philosophy, which saw the remarkable transmogrification of Ibn Sīnā himself into a Neopythagorean-occultist, by his espousal of a peculiarly Mamluk-Timurid-Aqquyunlu brand of philosophical lettrism (ʿilm al-ḥurūf) in at least three of his many works. The example of this imperial Neopythagoreanizing lettrist is thus crucial for understanding the intellectual and religiopolitical continuity of Safavid Shiʿi culture with Sunni precedent, as well as contemporary Persianate and Latinate parallels. Within Western history of science more broadly, Mīr Dāmād and the host of his fellow Muslim kabbalists must now be restored to the master mathesis narrative whereby scientific modernity is but the upshot of early modern Western philosophers’ penchant for reading the world as a mathematical text.