Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 17 of 17 for “"Number Line"”.
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Solving Absolute Value Equations and Inequalities on a Number Line
… by using the concept of distance on a number line is an effective method. The claim is that if students use the distance concept on a number line, they will develop the necessary conceptual understanding in addition to just a procedural knowledge that will lead to the success with and …
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The representation of numbers in space : a journey along the mental number line
… thesis deals with the mental representation of numbers in space. Generally it is assumed that numbers are mentally represented on a mental number line along which they ordered in a continuous and analogical manner. Dehaene, Bossini and Giraux (1993) found that the mental number line is spatially …
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A synthesis of cognitive science research on the mental number line, and its relation to the pedagogical use of number lines in the teaching of elementary arithmetic in the Foundation Phase of schooling
… frame our experiences as it relates to using the number line in school mathematics. This study is a synthesis of the research findings in cognitive science and mathematics education to elucidate the mechanisms that underpin the connection between the mental number line in humans and its relation …
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Promoting the Development of an Integrated Numerical Representation through the Coordination of Physical Materials
… children were trained on a computerized number line estimation task, with a novel scale (0-180), and then asked to perform a series of posttest number line estimation tasks that varied spatial features of the training number line. In experiment 1, during training with feedback, children …
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Componenti spaziali della rappresentazione cognitiva della grandezza del numero
The humans process the numbers in a similar way to animals. There are countless studies in which similar performance between animals and humans (adults and/or children) are reported. Three models have been developed to explain the cognitive mechanisms underlying the number processing. The …
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Use of a neutralization model to develop understanding of integers and of the operations of integer addition and subtraction
… model for integers and their operations, the number line, often in combination with the traditional subtraction rule, has been inadequate to produce understanding and performance. An alternative model, one based on neutralization of positive and negative quantities, was investigated in this …
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How spatial is spatial language? Investigating the relationship between spatial cognition and abstract language processing
… effects was replicated; the presence of a mental number line. From each of the language tasks, a spatial grounding sensitivity score was calculated based on the difference in reaction times between incongruent and congruent trials. These sensitivity scores were then correlated to performance on …
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Raising Teacher Sensitivity to Key Numeracy Competencies in the Early Years
… professional knowledge about the sequence of number development and the predictors of mathematical difficulties was provided to teachers of five to eight-year-old students. Tools were provided which focussed on linear tracks (board games) as an external model of number magnitude. The study …
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Numeric Memory: Developing Representations
Whether for letters or numbers, memory span increases dramatically from age 2 to young adulthood. The cognitive mechanisms underlying this age-related change are still somewhat uncertain. With emphasis on the Fuzzy Trace Theory (FTT) and the representational change account of numerical cognition, …
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Can Addressing Language Skills for Fifth Grade ELLs in a Multiplication Curriculum Help Address the Achievement Gap in Math? A Multiplication Workbook for Big Kids
… addition, equal groups, make and array, use a number line, 1 digit by 1 digit and 2 digit by 1 digit. Each lesson integrates an overview of a vocabulary word which is the concept of the lesson. Students will be able to practice their oral language development as they deepen their understanding …
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Inferential Methods for High-Throughput Methylation Data
… distribution encompassing the entire real number line, whereas b1 and b2 are constrained on the interval . Additionally, the imposition of a filter at a level signifying the minimum level of detectable difference to a Two Sample t-test likely reduces power for smaller but truly …
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From Magnitudes to Math: Developmental Precursors of Quantitative Reasoning
… animals. Although humans typically think about number symbolically, we also possess nonverbal representations of quantity that are present at birth and shared with many other animal species. These primitive numerical representations are thought to arise from an evolutionarily ancient system …
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The relationship between teacher pedagogical content knowledge and student understanding of integer operations
… for integer operations called a vector number line model using the Texas Instruments TI-73 calculator Numln application. During PD, teachers engaged in argumentation to make claims about strategies to use to understand integer operations and to explain their understanding of how …
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Understanding Genomes Through Engineered Structural Variation
… variation, and gene regulation. I first outlined the determinants of short sequence insertion using prime editing by systematically measuring the frequency of insertion for 3,604 short sequences in four target sites of three human cell lines with varying DNA repair contexts. I characterized …
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Mastery of Sixth-Grade Mathematics Expectations as Measured by the Seventh-Grade Michigan Education Assessment Program from 2005 to 2007
… expectations were excluded. Three of the 10 Core Number and Operations GLCEs were selected as being foundational to transitioning to algebra. Of the three Core geometry GLCEs, one (G.TR.6.04—Composition of transformations) was eliminated as being too similar to the expectation on understanding …
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Semantische Repräsentation, obligatorische Aktivierung und verbale Produktion arithmetischer Fakten
… Towards an anatomical and functional model of number processing. Mathematical Cognition, 1, 83-120. Dehaene, S. & Cohen, L. (1997). Cerebral pathways for calculation: double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex, 33, 219-250. Dehaene, S., Piazza, M., …