標(biāo)題: Titlebook: Visualizing Mathematics; The Role of Spatial Kelly S. Mix,Michael T. Battista Book 2018 Springer Nature Switzerland AG 2018 Spatial reason [打印本頁] 作者: retort 時間: 2025-3-21 19:47
書目名稱Visualizing Mathematics影響因子(影響力)
作者: NOCT 時間: 2025-3-21 21:29
Kelly S. Mix,Michael T. BattistaBridges two fields by including authors from psychology and education.Appeals to the growing interest among psychologists, education scholars, and mathematics educators in the convergence of psycholog作者: 熱情的我 時間: 2025-3-22 01:00 作者: 獸群 時間: 2025-3-22 06:07 作者: BIDE 時間: 2025-3-22 11:57 作者: 使服水土 時間: 2025-3-22 14:16 作者: Palpable 時間: 2025-3-22 20:56
Part I Commentary 2: Visualization in School Mathematics Analyzed from Two Points of View The chapters in this book illustrate some of those links. The present text is a reflection, made with the mathematics education eyes, on some chapters in this book presenting educational psychology points of view.作者: 千篇一律 時間: 2025-3-22 22:40 作者: 取之不竭 時間: 2025-3-23 03:54
Part I Commentary 1: Deepening the Analysis of Students’ Reasoning About Lengthd a bridge to measurement reasoning; understanding and misunderstanding of rulers; and what students actually count in their attempts at length iterations. Our research also extends some of the ideas from early childhood to elementary school.作者: 榮幸 時間: 2025-3-23 08:04 作者: Gorilla 時間: 2025-3-23 10:26 作者: heterodox 時間: 2025-3-23 15:36 作者: Accessible 時間: 2025-3-23 21:49
The Interaction Between Spatial Reasoning Constructs and Mathematics Understandings in Elementary Clve on mathematics assessment. The extent to which spatial training can enhance student’s math performance is also considered in relation to these three constructs. Implications highlight the potential of explicitly focusing on spatial reasoning in math classrooms, given the malleability of instruction and ongoing affordances of technology.作者: magnate 時間: 2025-3-24 00:37
From Intuitive Spatial Measurement to Understanding of Units difficulties with standardized measurement units. The chapter ends by suggesting that the most effective instruction may be that which directly harnesses the power of children’s early intuitive reasoning as those children navigate the transition into a deeper conceptual understanding of standardized units of measure.作者: 太空 時間: 2025-3-24 06:06 作者: 金絲雀 時間: 2025-3-24 06:46
More Space, Better Mathematics: Is Space a Powerful Tool or a Cornerstone for Understanding Arithmets. However, benefits of SNA trainings on math skills seem to reinforce the claim of primary SNA role. Nevertheless, tasks used in such trainings may tap cognitive operations required in arithmetic, but not SNA representations themselves. Therefore, using space is a powerful tool rather than a cornerstone for math.作者: 比目魚 時間: 2025-3-24 10:59
Learning Through and from?Drawing in Early Years Geometryween two-dimensional and three-dimensional perceptions of geometric figures. We seek to forge new ways of including drawing as part of the teaching and learning of geometry and offer new ways of thinking about and analyzing the types of spatial/geometric reasoning young children are capable of.作者: Insubordinate 時間: 2025-3-24 15:06 作者: exceed 時間: 2025-3-24 20:56 作者: 屈尊 時間: 2025-3-25 02:52
From Intuitive Spatial Measurement to Understanding of Unitsstanding of measurement units in school settings. In doing so, the chapter reveals that children’s early competence in intuitive spatial thinking does not translate directly into success with standardized measurement units without appropriate scaffolding and support. Findings from cognitive science 作者: 哎呦 時間: 2025-3-25 06:02
Spatial Reasoning: A Critical Problem-Solving Tool in Children’s Mathematics Strategy Tool-Kite when solving math problems. We propose that teaching generalized spatial skills, disconnected from specific math content, may not be the best direction to go in future spatial interventions. Students who do not start out with strong spatial skills may need to learn to develop different types of “s作者: Agnosia 時間: 2025-3-25 08:57
More Space, Better Mathematics: Is Space a Powerful Tool or a Cornerstone for Understanding Arithmetbilities are a cornerstone of math skill. We question this seemingly ubiquitous assumption. After presenting SNA taxonomy, we show that only some SNAs correlate with math skill. These correlations are not conclusive: (1) Their directions vary (stronger SNA relates sometimes to better, sometimes to p作者: harmony 時間: 2025-3-25 13:45
What Processes Underlie the Relation Between Spatial Skill and Mathematics?e strengths and weaknesses of factor analyses, meta-analyses, and experimental literatures. We examine those studies that set out to describe the nature and number of spatial and mathematical abilities and specific connections among these abilities, especially those that include children as particip作者: 斷言 時間: 2025-3-25 16:24
Part I Commentary 1: Deepening the Analysis of Students’ Reasoning About Lengtht research to that of Congdon et al. We illustrate how our qualitative investigation of measurement reasoning can elaborate, deepen, and introduce additional perspectives and insights into the research. We discuss three points of intersection: non-measurement reasoning as elaboration of intuition an作者: Manifest 時間: 2025-3-25 21:49
Part I Commentary 2: Visualization in School Mathematics Analyzed from Two Points of View The chapters in this book illustrate some of those links. The present text is a reflection, made with the mathematics education eyes, on some chapters in this book presenting educational psychology points of view.作者: Generosity 時間: 2025-3-26 01:13
Part I Commentary 3: Proposing a Pedagogical Framework for the?Teaching and Learning of Spatial Skil992) both described the connections between the two fields and indeed, many educational theories of development evolved from psychology. To this point, one of the longest running groups in mathematics education derived from the field of cognitive psychology, namely, The International Group for the P作者: 我悲傷 時間: 2025-3-26 06:23 作者: 商談 時間: 2025-3-26 10:18
Learning Through and from?Drawing in Early Years Geometrycational psychology between children’s finished drawings and their mathematical achievement, and the central importance of diagramming in mathematics thinking and learning, we wanted to study children’s actual drawing process in order to gain insight into how the movements of their hands and eyes ca作者: 陪審團(tuán)每個人 時間: 2025-3-26 14:26
The Interaction Between Spatial Reasoning Constructs and Mathematics Understandings in Elementary Clperformance. This chapter examines this relationship from a mathematics education perspective, with a focus on elementary classrooms. Three spatial constructs critical to mathematics instruction and learning are identified: namely, spatial visualization; mental rotation; and spatial orientation. The作者: Obverse 時間: 2025-3-26 20:23
Geometric Modeling of Mesospace Objects: A Task, its Didactical Variables, and the?Mathematics at Stt this look like in the context of geometry? Inspired by claims that students come to secondary school with knowledge of three-dimensional space that can be leveraged to engage them in modeling, we wondered what it would take to have them do so. We designed a communication task aimed at engaging tee作者: 制度 時間: 2025-3-26 21:17 作者: insomnia 時間: 2025-3-27 02:09
Part II Commentary 1: Mathematics Educators’ Perspectives on Spatial Visualization and Mathematical hematics education researchers, because Lowrie and Logan address the importance of spatial reasoning across a range of mathematics content areas, rather than restricting their focus primarily to measurement or geometry mathematics content. They propose that spatial reasoning is important for content作者: moratorium 時間: 2025-3-27 06:26 作者: 長處 時間: 2025-3-27 11:19
ence and engineering. The term FFT, initially associated to the Cooley-Tukey FFT for sequences of period . = 2., has become after the efforts of many researchers over the years, the generic name of a whole family of efficient DFT numerical methods. Each member in the FFT family is specialized in com作者: Aesthete 時間: 2025-3-27 13:37 作者: AVOID 時間: 2025-3-27 18:52 作者: palliative-care 時間: 2025-3-28 01:57
Krzysztof Cipora,Philipp Alexander Schroeder,Mojtaba Soltanlou,Hans-Christoph Nuerklity for the role of a general framework for modeling concurrent computation. As a basic tool we introduce a ‘modal’ logic of transition rules and runs, which is, in the context of evolving algebras, just a definitional extension of ordinary first order logic. A notion of independence of rules and r作者: Herd-Immunity 時間: 2025-3-28 03:23
Christopher Young,Susan C. Levine,Kelly S. Mixtions is given by characteristic functions from a finite universe (of unknown size) to a user-defined subset of rational numbers. Our logic supports standard operators such as union, intersection, difference, or any operation defined pointwise using mixed linear integer-rational arithmetic. Moreover作者: 不真 時間: 2025-3-28 08:40
ch has been extended to classical logic (cf. Girard 1991, Parigot 1991, and recently Danos Joinet Schellinx 1997). This paper introduces a new sequent calculus for (propositional) classical logic, indicated by .C. Both, the calculus and the cut-elimination procedure for .C extend those for . (Sambin作者: 察覺 時間: 2025-3-28 12:45
A. Gutiérrezinary or dyadic notation of integers). Let + and . respectively denote usual addition of integers and concatenation (of their dyadic notations). A RAM which uses only arithmetical operations of a set I is called an I - RAM. An LTTC-RAM is a RAM which only uses LTTC operations..In the present paper, 作者: Monocle 時間: 2025-3-28 17:44 作者: 他姓手中拿著 時間: 2025-3-28 21:19 作者: DEFER 時間: 2025-3-29 02:10 作者: 發(fā)微光 時間: 2025-3-29 05:12 作者: 沉著 時間: 2025-3-29 11:19 作者: flutter 時間: 2025-3-29 12:18
Tom Lowrie,Tracy Logante problems can be expressed. We first improve a previous result of Papadimitriou and Yannakakis by proving that such queries can be computed in time . where . is the structure, . is the result set of the query and . is a simple exponential in the size of the formula .. A consequence of our method i作者: 凝結(jié)劑 時間: 2025-3-29 17:20
Patricio Herbst,Nicolas Boileaues United Kingdom (UK) and Bangladesh (BD), and analyzed how COVID-19 as an external event was focused in the newspapers. To conduct the analysis, we handpicked a set of covid related feature terms, and using Latent Dirichlet Allocation (LDA) we verified the coherency of the chosen terms. The main f作者: 沒血色 時間: 2025-3-29 23:41
Beth M. Caseyn the multi-layer features, resulting in the loss of effective information. A facial expression image classification model based on a multi-scale feature fusion residual network is proposed to aim at these problems. Firstly, the ResNet-50 network structure is selected for improvement, with the dilat作者: 提升 時間: 2025-3-30 01:58
2570-4729 l reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit..? ? ? ? ?What processes underlie the relation between spatial skill and mathematics?.? ? ? ? ?Learning with and from dra978-3-319-98767-5Series ISSN 2570-4729 Series E-ISSN 2570-4737 作者: Inferior 時間: 2025-3-30 07:11 作者: 祖先 時間: 2025-3-30 10:33 作者: Curmudgeon 時間: 2025-3-30 15:39
Beth M. Casey,Harriet Felled to a model . of second order dependent type theory in a . way, i.e. for all formulas ., . is true in . if and only if . is inhabited in .. Here we prove this equivalence for models . that are full models of classical second order predicate logic. The extension of . to . is constructed by adding t作者: 散開 時間: 2025-3-30 17:12
Krzysztof Cipora,Philipp Alexander Schroeder,Mojtaba Soltanlou,Hans-Christoph Nuerk The power of the framework is demonstrated by developing simple and transparent evolving algebra models for the Chemical Abstract Machine of Berry and Boudol and for the .-calculus of Milner. Their respective notions of parallelism map directly and faithfully to native concurrency of evolving algeb作者: conquer 時間: 2025-3-30 22:21 作者: 失誤 時間: 2025-3-31 01:23
and the cut-elimination process..In relation to the framework of basic logic, a remarkable result is that the extensions of basic logic (the ones that are “symmetric”) are obtained by means of structural rules. Also, and in agreement with the spirit of uniformity propound in [Sambin 97], the proced作者: 有組織 時間: 2025-3-31 08:47
A. Gutiérrez+}-RAM (resp. {.}-RAM) R‘ with strongly poynomially compact memory..Note that Theorem 2 holds for both weak nondeterministic RAMs and strong nondeterministic RAMs, i.e. in case the RAMs have only nondeterministic goto instructions or in case they have an instruction to guess an integer..If moreover 作者: endure 時間: 2025-3-31 12:07 作者: conceal 時間: 2025-3-31 17:05 作者: considerable 時間: 2025-3-31 18:47
-width of quantified constraint formulae, defined by Chen and Dalmau (CSL 2005): For quantified constraint formulae, both bounded elimination-width and bounded fotw allow for model checking in polynomial time. We prove that fotw of a quantified constraint formula . is bounded by the elimination-widt
