Mathematical Communication: What And How To Develop It In Mathematics Learning?

Mathematics is the language of symbols so that everyone who studied mathematics required having the ability to communicate using the language of these symbols. Mathematical communication skills will make a person could use mathematics for its own sake as well as others, so that will increase positive attitudes towards mathematics. Mathematical communication skills can support mathematical abilities, such as problem solving skills. With good communication skills then the problem will more quickly be represented correctly and this will support in solving problems. Students' mathematical communication skills can be developed in various ways, one with group discussions. Brenner (1998) found that the formation of small groups facilitate the development of mathematical communication skills. This paper describes the mathematical communication and how to develop the mathematical communication skills in learning mathematics. For further clarify the discussion, given also the example of learning that emphasizes the development of mathematical communication skills. Keywords: Mathematical Communication, Mathematics Learning

The Enhancement of Mathematical Communication and Self Regulated Learning of Senior High School Students Through PQ4R Strategy Accompanied by Refutation Text Reading

This study is experiment research with control group pretest-posttest design and aimed to examine the influence of PQ4R strategy and Refutation Text, school level, and student’s mathematical early knowledge toward achievement and enhancement of student’s mathematical communication ability and Self Regulated Learning. Subject of study as much as 241 students of class X from three Public Senior High School from high, medium, and low school level. Research instrument consist of one set of student’s mathematical communication, and one set of student’s Self Regulated Learning scale. Data analysis use Kosmogorov-Smirnov Test (Test-Z), Level Test, Test-t, one-way and two-way ANOVA, Post Hoc Test (Scheffe) and also Chi-Square Test. Study found that learning with PR4R strategy accompanied by Refutation Text Reading give consistent influence compared with conventional learning as viewed as a whole, based on school level and also mathematical early knowledge. In addition, study also found: (1) there is no interaction between learning (PQ4R) accompanied by Refutation Text reading and conventional and school level toward (a) student’s mathematical communication and (b) student’s Self Regulated Learning; (2) there is no significant interaction between learning and student’s mathematical early knowledge toward (a) student’s mathematical communication ability and (b) student’s Self Regulated Learning; and (3) there is association between student’s mathematical communication ability and student’s Self Regulated Learning. Keywords: PQ4R, Refutation Text, Mathematical Communication, and Self Regulated Learning

Scholarly mathematical communication at a crossroads

This essay was invited for publication in Nieuw Archief voor Wiskunde; it will also appear in translation in the SMF Gazette and in the DMV Mitteilungen. I discuss the recent trends in scholarly communication in mathematics, the current state and intentions of the arXiv, and a proposal to reform peer review with the arXiv as a foundation.Comment: 3 pages, 1 figur

PENGARUH PENERAPAN MODEL PROBLEM BASED LEARNING BERBANTUAN MEDIA POWTOON TERHADAP KEMAMPUAN KOMUNIKASI MATEMATIS SISWA SMP

Based on the results of interviews with SMPN 1 Batu teachers, in reality students' mathematical communication skills are still low. As a solution to overcome the low ability of mathematical communication by applying PBL models and the help of powtoon audio-visual media. This study aims to determine whether there are significant differences in mathematical communication skills between students who apply the PBL learning model using powtoon media and students who apply conventional models. The method used was quasi-experiment with a pretest-posttest control group design. The research was conducted at SMPN 01 Batu with the subject of class VII-H students as the control class and grade VII-I students as the experimental class. The research instruments used consist of test sheets, observation sheets, and interview guidelines. Data analysis with the help of SPSS 18 for windows consists of normality test, homogeneity test, and hypothesis test. The results of this study showed that on average post-test results there was a significant difference, where the control class obtained an average of 52.73 while the experimental class obtained an average of 61.84. The results of the post-test mathematical communication ability hypothesis test obtained a significance value of 0.002<0.05 then H_0 rejected. So it can be concluded that there are significant differences in mathematical communication skills between students who apply PBL learning and powtoon media with students who apply conventional learning models

Next steps in implementing Kaput's research programme

We explore some key constructs and research themes initiated by Jim Kaput, and attempt to illuminate them further with reference to our own research. These 'design principles' focus on the evolution of digital representations since the early nineties, and we attempt to take forward our collective understanding of the cognitive and cultural affordances they offer. There are two main organising ideas for the paper. The first centres around Kaput's notion of outsourcing of processing power, and explores the implications of this for mathematical learning. We argue that a key component for design is to create visible, transparent views of outsourcing, a transparency without which there may be as many pitfalls as opportunities for mathematical learning. The second organising idea is that of communication, a key notion for Kaput, and the importance of designing for communication in ways that recognise the mutual influence of tools for communication and for mathematical expression

Power spectrum analysis of staggered quadriphase-shift-keyed signals

Mathematical analysis of power spectrum of outputs from high-reliability communication system is used to determine system bandwidth. Analysis provides mathematical relationships of signal power spectrum at output of hard limiter for any type of baseband pulse input subjected only to output parameter constraints