@article{44336, author = {{Burban, Igor and Drozd, Yu. and Gavran, V.}}, journal = {{International Mathematics Research Notices 2017}}, number = {{3}}, pages = {{895--920}}, title = {{{Singular curves and quasi–hereditary algebras}}}, year = {{2017}}, } @inbook{45395, author = {{Dröse, Jennifer and Prediger, Susanne and Marcus, A.}}, booktitle = {{Mathe sicher können - Förderbausteine und Handreichungen}}, editor = {{Prediger, Susanne and Selter, Ch. and Nührenbörger, M. and Hußmann, S. }}, publisher = {{Cornelsen}}, title = {{{Förderbaustein S3 - Verstehen von Textaufgaben}}}, year = {{2017}}, } @inproceedings{45681, author = {{Bruns, Julia and Eichen, L.}}, booktitle = {{Beiträge zum Mathematikunterricht 2017}}, location = {{Potsdam}}, pages = {{1221–1224}}, publisher = {{WTM-Verlag}}, title = {{{EmMa – Interventionsstudie zur Entwicklung mathematikbezogener Kompetenzen elementarpädagogischer Fachpersonen}}}, year = {{2017}}, } @article{36481, abstract = {{Recent studies highlight early childhood teachers’ mathematics-related competence. Developing this competence should be a main aspect of early childhood teachers’ education. This is, however, not the case in all countries. Consequently, high-quality professional development courses are needed. Based on research results, we developed a competence-oriented continuous professional development course ("EmMa") and examined the effects of "EmMa" by asking: How does "EmMa" affect the development of early childhood teachers’ i) mathematical content knowledge, ii) mathematical pedagogical content knowledge and iii) beliefs towards mathematics in general? To answer these questions, we conducted a pre-test/post-test study including a control group with 99 in-service early childhood teachers. Results show that the course affected teachers’ mathematical pedagogical content knowledge and static orientation towards mathematics positively. From this we conclude that scaling-up "EmMa" might be a suitable approach to bridge the gap between pre-service education with nearly no mathematics and the challenges of early mathematics education.}}, author = {{Bruns, Julia and Eichen, Lars and Gasteiger, Hedwig}}, journal = {{Mathematics Teacher Education and Development (MTED)}}, keywords = {{Beliefs, Competency Based Teacher Education, Control Groups, Early Childhood Education, Faculty Development, Foreign Countries, Inservice Teacher Education, Intervention, Mathematical Aptitude, Mathematics Skills, Pedagogical Content Knowledge, Preschool Teachers, Pretests Posttests, Professional Continuing Education, Statistical Analysis, Teacher Competency Testing}}, number = {{3}}, pages = {{76–93}}, title = {{{Mathematics-related Competence of Early Childhood Teachers Visiting a Continuous Professional Development Course: An Intervention Study}}}, volume = {{19}}, year = {{2017}}, } @article{34826, author = {{Eichen, Lars and Bruns, Julia}}, issn = {{2191-9194}}, journal = {{Frühe Bildung}}, keywords = {{competency development, early childhood mathematics education, professional development course}}, number = {{2}}, pages = {{67--73}}, publisher = {{Hogrefe & Huber Publishers}}, title = {{{Interventionsstudie zur Entwicklung mathematikbezogener Einstellungen frühpädagogischer Fachpersonen}}}, doi = {{10.1026/2191-9186/a000310}}, volume = {{6}}, year = {{2017}}, } @inproceedings{36479, author = {{Bruns, Julia and Eichen, Lars and Gasteiger, Hedwig}}, booktitle = {{Proceedings of the 41th Conference of the International Group for the Psychology of Mathematics Education }}, editor = {{Kaur, Berinderjeet and Ho, Weng Kin and Toh, Tin Lam and Choy, Ban Heng}}, location = {{Singapur}}, pages = {{185--192}}, title = {{{Structure of Early Childhood Educators Math-related Competence}}}, volume = {{2}}, year = {{2017}}, } @inbook{36484, abstract = {{Ziel der quasi-experimentellen Querschnittsuntersuchung ist die Beschreibung der adaptiven Förderpraxis elementarpädagogischer Fachpersonen (n = 31) von Kindern (n = 62) im Bereich Mathematik unter Einbezug des Konzepts der Zone der nächsten Entwicklung nach Vygotskij. Im Zentrum dieses Beitrags steht die Frage: Welcher Zusammenhang zeigt sich zwischen dem Bildungsverständnis der elementarpädagogischen Fachpersonen und der Adaptivität ihres Förderverhaltens im Bereich Mathematik? Die Ergebnisse weisen darauf hin, dass die Förderung nur unzureichend adaptiv gestaltet wird. Es zeigt sich kein Zusammenhang zwischen dem Bildungsverständnis und der adaptiven Förderleistung im Bereich Mathematik. Es scheint aufgrund der Ergebnisse, dass elementarpädagogische Fachpersonen stärkere Unterstützung in der Begleitung mathematischer Bildungsprozesse brauchen.}}, author = {{Bruns, Julia and Eichen, Lars}}, booktitle = {{Perspektiven mathematischer Bildung im Übergang vom Kindergarten zur Grundschule}}, editor = {{Schuler, Stephanie and Streit, Christine and Wittmann, Gerald}}, isbn = {{978-3-658-12950-7}}, pages = {{125–138}}, publisher = {{Springer Fachmedien Wiesbaden}}, title = {{{Individuelle Förderung im Kontext früher mathematischer Bildung}}}, doi = {{10.1007/978-3-658-12950-7_9}}, year = {{2017}}, } @article{45341, author = {{Schönherr, Johanna and Schukajlow, S.}}, journal = {{ZDM Mathematics Education}}, number = {{3}}, pages = {{367–378}}, title = {{{Does students’ interest in a mathematical problem depend on the problem’s connection to reality? An analysis of students’ interest and pre-service teachers’ judgments of students’ interest in problems with and without a connection to reality}}}, doi = {{10.1007/s11858-016-0819-3}}, volume = {{49}}, year = {{2017}}, } @article{45340, author = {{Schönherr, Johanna and Schukajlow, S.}}, journal = {{Journal für Mathematik-Didaktik}}, pages = {{171–196}}, title = {{{Do students enjoy computing a triangle’s side? Enjoyment and boredom while solving problems with and without a connection to reality from students’ and pre-service teachers’ perspectives}}}, doi = {{10.1007/s13138-017-0123-y}}, volume = {{39}}, year = {{2017}}, } @article{45336, author = {{Schönherr, Johanna and Schukajlow, S. and Leopold, C.}}, journal = {{Educational Studies in Mathematics}}, number = {{1}}, pages = {{53–78}}, title = {{{Make a drawing. Effects of strategic knowledge, drawing accuracy, and type of drawing on students’ mathematical modelling performance}}}, doi = {{10.1007/s10649-016-9736-1}}, volume = {{95}}, year = {{2017}}, } @article{31377, author = {{Weich, Tobias and Hoffmann, Max}}, journal = {{die hochschullehre}}, title = {{{Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt.}}}, volume = {{3}}, year = {{2017}}, } @article{29462, abstract = {{Time-variant age information of different parts of a system can be used for system-level performance improvement through high-level task scheduling, thus extending the life-time of the system. Progressive age information should provide the age state that the system is in, and the rate that it is being aged at. In this paper, we propose a structure that monitors certain paths of a circuit and detects its gradual age growth, and provides the aging rate and aging state of the circuit. The proposed monitors are placed on a selected set of nodes that represent a timing bottleneck of the system. These monitors sample expected data on these nodes, and compare them with the expected values. The timing of sampling changes as the circuit ages and its delay increases. The timing of sampling will provide a measure of aging advancement of a circuit. To assess the efficacy of the proposed method and compare it with other state-of-the-art aging monitors, we use them on selected nodes of the execution unit of different processors, as well as some circuits from ITC99 benchmarks. The results reveal that the precision of our proposed method is between 0.12 (ns) to 0.401 (ns). Its Area and power overhead are negligible and are about 2.13 and 0.69 percent respectively.}}, author = {{Sadeghi-Kohan, Somayeh and Kamal, Mehdi and Navabi, Zainalabedin}}, issn = {{2168-6750}}, journal = {{IEEE Transactions on Emerging Topics in Computing}}, keywords = {{Age advancement, age monitoring clock, aging rate, self-adjusting monitors}}, number = {{3}}, pages = {{627--641}}, publisher = {{Institute of Electrical and Electronics Engineers (IEEE)}}, title = {{{Self-Adjusting Monitor for Measuring Aging Rate and Advancement}}}, doi = {{10.1109/tetc.2017.2771441}}, volume = {{8}}, year = {{2017}}, } @inproceedings{29463, abstract = {{In this paper we propose to think out of the box and discuss an approach for universal mitigation of Negative Bias Temperature Instability (NBTI) induced aging untied from the limitations of its modelling. The cost-effective approach exploits a simple property of a randomized design, i.e., the equalized signal probability and switching activity at gate inputs. The techniques considered for structural design randomization involve both the hardware architecture and embedded software layers. Ultimately, the proposed approach aims at extending the reliable lifetime of nanoelectronic systems.}}, author = {{Jenihhin, Maksim and Kamkin, Alexander and Navabi, Zainalabedin and Sadeghi-Kohan, Somayeh}}, booktitle = {{2016 IEEE East-West Design & Test Symposium (EWDTS)}}, publisher = {{IEEE}}, title = {{{Universal mitigation of NBTI-induced aging by design randomization}}}, doi = {{10.1109/ewdts.2016.7807635}}, year = {{2017}}, } @article{24212, abstract = {{A hybrid multi-channel receiver featuring fully-differential transimpedance input stages for 25Gbps data rate per channel is presented along with measurement results focusing on the channel-to-channel interference and sensitivity. OMA of -16dBm at a BER of 10−4 is estimated at the photodiode for all channels. Each channel dissipates 330mW of power provided from a single 3.3V supply voltage.}}, author = {{Gudyriev, Sergiy and Scheytt, Christoph and Kress, Christian and Yan, Lei and Christian, Meuer and Zimmermann, Lars}}, isbn = {{978-1-943580-33-0}}, journal = {{OSA Frontiers in Optics + Laser Science}}, title = {{{Fully-Differential, Hybrid, Multi-channel 4x25Gbps Direct Direction Receiver in 0.25\textmum BiCMOS SiGe Technology}}}, doi = {{https://doi.org/10.1364/FIO.2017.FM3A.3}}, year = {{2017}}, } @article{18, abstract = {{Branch and bound (B&B) algorithms structure the search space as a tree and eliminate infeasible solutions early by pruning subtrees that cannot lead to a valid or optimal solution. Custom hardware designs significantly accelerate the execution of these algorithms. In this article, we demonstrate a high-performance B&B implementation on FPGAs. First, we identify general elements of B&B algorithms and describe their implementation as a finite state machine. Then, we introduce workers that autonomously cooperate using work stealing to allow parallel execution and full utilization of the target FPGA. Finally, we explore advantages of instance-specific designs that target a specific problem instance to improve performance. We evaluate our concepts by applying them to a branch and bound problem, the reconstruction of corrupted AES keys obtained from cold-boot attacks. The evaluation shows that our work stealing approach is scalable with the available resources and provides speedups proportional to the number of workers. Instance-specific designs allow us to achieve an overall speedup of 47 × compared to the fastest implementation of AES key reconstruction so far. Finally, we demonstrate how instance-specific designs can be generated just-in-time such that the provided speedups outweigh the additional time required for design synthesis.}}, author = {{Riebler, Heinrich and Lass, Michael and Mittendorf, Robert and Löcke, Thomas and Plessl, Christian}}, issn = {{1936-7406}}, journal = {{ACM Transactions on Reconfigurable Technology and Systems (TRETS)}}, keywords = {{coldboot}}, number = {{3}}, pages = {{24:1--24:23}}, publisher = {{Association for Computing Machinery (ACM)}}, title = {{{Efficient Branch and Bound on FPGAs Using Work Stealing and Instance-Specific Designs}}}, doi = {{10.1145/3053687}}, volume = {{10}}, year = {{2017}}, } @inproceedings{1592, abstract = {{Compared to classical HDL designs, generating FPGA with high-level synthesis from an OpenCL specification promises easier exploration of different design alternatives and, through ready-to-use infrastructure and common abstractions for host and memory interfaces, easier portability between different FPGA families. In this work, we evaluate the extent of this promise. To this end, we present a parameterized FDTD implementation for photonic microcavity simulations. Our design can trade-off different forms of parallelism and works for two independent OpenCL-based FPGA design flows. Hence, we can target FPGAs from different vendors and different FPGA families. We describe how we used pre-processor macros to achieve this flexibility and to work around different shortcomings of the current tools. Choosing the right design configurations, we are able to present two extremely competitive solutions for very different FPGA targets, reaching up to 172 GFLOPS sustained performance. With the portability and flexibility demonstrated, code developers not only avoid vendor lock-in, but can even make best use of real trade-offs between different architectures.}}, author = {{Kenter, Tobias and Förstner, Jens and Plessl, Christian}}, booktitle = {{Proc. Int. Conf. on Field Programmable Logic and Applications (FPL)}}, keywords = {{tet_topic_hpc}}, publisher = {{IEEE}}, title = {{{Flexible FPGA design for FDTD using OpenCL}}}, doi = {{10.23919/FPL.2017.8056844}}, year = {{2017}}, } @article{1589, author = {{Schumacher, Jörn and Plessl, Christian and Vandelli, Wainer}}, journal = {{Journal of Physics: Conference Series}}, publisher = {{IOP Publishing}}, title = {{{High-Throughput and Low-Latency Network Communication with NetIO}}}, doi = {{10.1088/1742-6596/898/8/082003}}, volume = {{898}}, year = {{2017}}, } @inbook{56356, author = {{Biehler, Rolf and Friedrich, Hauke}}, booktitle = {{Beiträge zum Mathematikunterricht 2017}}, editor = {{Kortenkamp, U. and Kuzle, A.}}, pages = {{91--94}}, publisher = {{WTM-Verlag}}, title = {{{Professionelles Wissen von Lehrkräften zum Thema bedingte Wahrscheinlichkeiten und stochastische Unabhängigkeit}}}, year = {{2017}}, } @inbook{56363, author = {{Biehler, Rolf and Frischemeier, Daniel and Reading, Chris and Shaughnessy, J. Michael}}, booktitle = {{International Handbook of Research in Statistics Education}}, editor = {{Ben-Zvi, Dani and Makar, K. and Garfield, J.}}, isbn = {{9783319661933}}, issn = {{2197-1951}}, pages = {{139--192}}, publisher = {{Springer International Publishing}}, title = {{{Reasoning About Data}}}, doi = {{10.1007/978-3-319-66195-7_5}}, year = {{2017}}, } @inbook{56704, author = {{Fleischmann, Yael and Biehler, Rolf}}, booktitle = {{Beiträge zum Mathematikunterricht 2017}}, editor = {{Kortenkamp, U. and Kuzle, A.}}, pages = {{231--234}}, publisher = {{WTM-Verlag}}, title = {{{Analyse von Studierendenbearbeitungen von Präsenzaufgaben in der linearen Algebra}}}, year = {{2017}}, }