Symposium on mathematics for engineering students being the proceedings of the joint sessions of the Chicago section of the American mathematical society and Section A, Mathematics, and Section D, Mechanical science and engineering of the American Association for the Advancement of Science held at the University of Chicago December 30 and 31, 1907.

Caption title: The American Association for the Advancement of Science. Section D--Mechanical science and engineering. Engineering Mathematics symposium.

The Quarterly journal of pure and applied mathematics.

Published: Longman, Brown, Green, Longman, and Roberts, 1864; Longmans, Green, 1866-1927.

Philosophy and development of religion /

"Translation of the Lectures from my German manuscript"--Pref.

Critical essays on a few subjects connected with the history and present condition of speculative philosophy /

Locke and the transcendentalists -- Kant and his philosophy -- Fichte's exposition of Kant : philosophy applied to theology -- The philosophy of Cousin -- Paley : the argument for the being of a God -- Subject continued : the union of theology and metaphysics -- Berkeley and his philosophy -- Elements of moral science -- Political ethics.

Studies in southern history and politics; inscribed to William Archibald Dunning, PH.D., LL.D., Lieber professor of history and political philosophy in Columbia university,

Deportation and colonization: an atempted solution of the race problem, by W.L. Fleming.--The literary movement for secession, by U.B. Phillips.--The frontier and secession, by C.W. Ramsdell.--The French consuls in the Confederate States, M.L. Bonham, jr.--The judicial interpretation of the Confederate constitution, by S.D. Brummer.--Southern legislation in respect to freedmen, 1865-1866, by J.G. de R. Hamilton.--Carpet-baggers in the United States Senate, by C. Mildred Thompson.--Grant's southern policy, by E.C. Woolley.--The federal enforcement acts, by W.W. Davis.--Negro suffrage in the South, by W.R. Smith.--Some phases of educational history in the South since 1865, by W.K. Boyd.--The new South, economic and social, by H. Thompson.--The political philosophy of John C. Calhoun, by C.E. Merriam.--Southern political theories, by D.Y. Thomas.--Southern politics since the civil war, by J.W. Garner.

Pre-Service Teachers’ Mathematics Language and Reflection in the Context of an Early Childhood Mathematics Methods Course

Thesis (Ph.D.)--University of Washington, 2016-06

Learning mathematics in a classroom community of inquiry

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal development (ZPD) is invoked as a fundamental framework for explaining learning as increasing participation in a community of practice characterized by mathematical inquiry. The analysis draws on classroom observation and interviews with students and the teacher to show how the teacher established norms and practices that emphasized mathematical sense-making and justification of ideas and arguments and to illustrate the learning practices that students developed in response to these expectations.

Levinas and the defination of philosophy: An ethical approach

Emmanuel Levinas’ thought seems to be strictly neither rational, phenomenological nor ontological, and it thus intentionally exposes itself to the asking of the question ‘why call it philosophy at all’? While we may have trouble containing Levinas’ thought within our traditional philosophical boundaries, I argue that this gives us no reason to exclude him from philosophy proper as a mere poser, but rather provides the occasion for reflection on just what it means, in an ethical manner, to call something ‘philosophical’. Instead of asking whether or not philosophy can ‘contain’ Levinas’ thought, I contend that it would be more ethical to instead re-phrase the question in terms of ‘sociality’. When we do this, I argue, we can indeed justifiably call Levinas’ thought philosophy.

The Initial Stage of Teaching Proof in Mathematics Course

This article discusses techniques for organization of propaedeutic stage of teaching proof in mathematics course. It identifies types of tasks that allow students of 5–6 classes to form the ability to carry out simple proofs. This article describes each type of tasks features, it gives some examples.

Bulgarian Digital Mathematical Library BulDML and Czech Digital Mathematical Library DML-CZ as parts of the European Digital Mathematics Library EuDML

The paper presents in brief the Bulgarian Digital Mathematical Library BulDML and the Czech Digital Mathematical Library DML-CZ. Both libraries use the open source software DSpace and both are partners in the European Digital Mathematics Library EuDML. We describe their content and metadata schemas; outline the architecture system and overview the statistics of its use.

A Model of a Diagnostic Test for Controlling the Results of a Computer Based Education in Applied Mathematics at the University of Ruse

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2015

A Didactic Model of Computer Supported Education in Higher Mathematics

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2016

A comparison of academic achievement of Montessori and non -Montessori students in a public school setting

Relationships between academic achievement and type of curriculum delivery system, Montessori or traditional, in a diverse group of learners from a public school district were examined in this study. In a repeated measures, within subjects design, students from an elementary Montessori program were paired with agemates from a traditional group on the basis of similar Stanford Achievement Test Scores in reading or math during the baseline year. Two subsequent administrations of the Stanford were observed for each subject to elucidate possible differences which might emerge based on program affiliation over the three year duration of the study. ^ Mathematics scores for both groups were not observed to be significantly different, although following the initial observation, the Montessori group continued to produce higher mean scores than did the traditional students. Marginal significance between the groups suggests that the data analysis should continue in an effort to elucidate a possible trend toward significance at the .05 level. ^ Reading scores for the groups demonstrated marginally significant differences by one analytical method, and significant differences when analyzed with a second method. In the second and third years of the study, Montessori students produced means which consistently outperformed the traditional group. ^ Recommendations included tracking subsequent administrations of the Stanford Achievement Test for all pairs of subjects in order to evaluate emerging trends in both subject areas. ^

The efficacy of an interactive computer system for teaching developmental mathematics to college students

Many students are entering colleges and universities in the United States underprepared in mathematics. National statistics indicate that only approximately one-third of students in developmental mathematics courses pass. When underprepared students repeatedly enroll in courses that do not count toward their degree, it costs them money and delays graduation. This study investigated a possible solution to this problem: Whether using a particular computer assisted learning strategy combined with using mastery learning techniques improved the overall performance of students in a developmental mathematics course. Participants received one of three teaching strategies: (a) group A was taught using traditional instruction with mastery learning supplemented with computer assisted instruction, (b) group B was taught using traditional instruction supplemented with computer assisted instruction in the absence of mastery learning and, (c) group C was taught using traditional instruction without mastery learning or computer assisted instruction. Participants were students in MAT1033, a developmental mathematics course at a large public 4-year college. An analysis of covariance using participants' pretest scores as the covariate tested the null hypothesis that there was no significant difference in the adjusted mean final examination scores among the three groups. Group A participants had significantly higher adjusted mean posttest score than did group C participants. A chi-square test tested the null hypothesis that there were no significant differences in the proportions of students who passed MAT1033 among the treatment groups. It was found that there was a significant difference in the proportion of students who passed among all three groups, with those in group A having the highest pass rate and those in group C the lowest. A discriminant factor analysis revealed that time on task correctly predicted the passing status of 89% of the participants. ^ It was concluded that the most efficacious strategy for teaching developmental mathematics was through the use of mastery learning supplemented by computer-assisted instruction. In addition, it was noted that time on task was a strong predictor of academic success over and above the predictive ability of a measure of previous knowledge of mathematics.^

Martin Heidegger's Mathematical Dialectic: Uncovering the Structure of Modernity

Martin Heidegger is generally regarded as one of the most significant—if also the most controversial—philosophers of the 20th century. Most scholarly engagement with Heidegger’s thought on Modernity approaches his work with a special focus on either his critique of technology, or on his more general critique of subjectivity. This dissertation project attempts to elucidate Martin Heidegger’s diagnosis of modernity, and, by extension, his thought as a whole, from the neglected standpoint of his understanding of mathematics, which he explicitly identifies as the essence of modernity.

Accordingly, our project attempts to work through the development of Modernity, as Heidegger understands it, on the basis of what we call a “mathematical dialectic.“ The basis of our analysis is that Heidegger’s understanding of Modernity, both on its own terms and in the context of his theory of history [Seinsgeschichte], is best understood in terms of the interaction between two essential, “mathematical” characteristics, namely, self-grounding and homogeneity. This project first investigates the mathematical qualities of these components of Modernity individually, and then attempts to trace the historical and philosophical development of Modernity on the basis of the interaction between these two components—an interaction that is, we argue, itself regulated by the structure of the mathematical, according to Heidegger’s understanding of the term.

The project undertaken here intends not only to serve as an interpretive, scholarly function of elucidating Heidegger’s understanding of Modernity, but also to advance the larger aim of defending the prescience, structural coherence, and relevance of Heidegger’s diagnosis of Modernity as such.