Take a deeper dive into understanding the five practices―anticipating, monitoring, selecting, sequencing, and connecting―for facilitating productive mathematical conversations in your elementary classrooms and learn to apply them with confidence. This follow-up to the modern classic, Five Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in Grades K-5 classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions.

Uploaded October 2025

An accessible guide to understanding statistics using simulations, with examples from a range of scientific disciplines. It introduces the reasoning behind data simulation and then shows how to apply it in planning experiments or observational studies, developing analytical workflows, deploying model diagnostics, and developing new indices and statistical methods.

Uploaded October 2025

Designed for researchers and students without an extensive quantitative background, this book offers an informative guide to the application, interpretation, and pitfalls of structural equation modeling (SEM) in psychology and the social sciences. This is an accessible volume which covers introductory techniques, including path analysis and confirmatory factor analysis, and provides an overview of more advanced methods, such as the evaluation of nonlinear effects, the analysis of means in covariance structure models, and latent growth models for longitudinal data.

Uploaded October 2025

The second edition of Time Series: A Biostatistical Introduction is an introductory account of time series analysis, written from the perspective of applied statisticians whose interests lie primarily in the biomedical and health sciences. This edition has a stronger focus on substantive applications, in which each statistical analysis is directed at a specific research question. Separate chapters cover simple descriptive methods of analysis, including time-plots, smoothing, the correlogram and the periodogram; theory of stationary random processes; discrete-time models for single series; continuous-time models for single series; generalized linear models for time series of counts; models for replicated series; spectral analysis, and bivariate time series.

Uploaded October 2025

This book develops a framework to analyze algorithmic aspects of discrete choice models in convex optimization. The central aspect is to derive new prox-functions from discrete choice surplus functions, which are then incorporated into convex optimization schemes. The book provides further economic applications of discrete choice prox-functions within the context of convex optimization such as network manipulation based on alternating minimization and dynamic pricing for online marketplaces.

Uploaded October 2025

Marcel Danesi revisits all fifty-three problems in Alcuin's original text, providing detailed solutions and analyses. Alcuin's Recreational Mathematics examines the problems in the Propositiones in easy-to-follow language, extracting from them the notions and techniques that today constitute basic mathematics. Each chapter discusses Alcuin's problems more broadly, and ends with ten exploratory puzzles based on Alcuin's original problems and related themes.

Uploaded October 2025

Principles of Statistics for Engineers and Scientists emphasizes statistical methods and how they can be applied to problems in science and engineering. The book contains many examples that feature real, contemporary data sets, both to motivate students and to show connections to industry and scientific research.

Uploaded March 2025

Explores the mathematical framework of Finsler geometry, particularly in relation to Zermelo’s navigation problem and its applications in spacetime physics. It connects wind-Finsler structures with general relativity, analyzing how anisotropic geometries influence causality and optimal navigation in curved spaces. Through a blend of differential geometry and physics, the authors provide insights into the role of Finslerian metrics in describing spacetimes with nontrivial causal and navigational properties.

Uploaded March 2025

In this paper we study second order master equations arising from mean field games with common noise over arbitrary time duration. A classical solution typically requires the monotonicity condition (or small time duration) and sufficiently smooth data. While keeping the monotonicity condition, our goal is to relax the regularity of the data, which is an open problem in the literature. In particular, we do not require any differentiability in terms of the measures, which prevents us from obtaining classical solutions.

Uploaded March 2025

Topological periodic cyclic homology (i.e. T-Tate fixed points of THH) has the structure of a strong symmetric monoidal functor of smooth and proer dg categories over a perfect field of finite characteristic.

Uploaded March 2025