Christopher Hammond, Professor of Mathematics at Connecticut College, published The Art of Analysis, an introductory textbook in real analysis. This resource is freely available for anyone to use, either individually or in a classroom setting.

The primary innovation of this text is a new perspective on teaching the theory of integration. Most introductory analysis courses focus initially on the Riemann integral, with other definitions discussed later (if at all). The paradigm being proposed is that the Riemann integral and the “generalized Riemann integral” should be considered simultaneously, not separately – in the same manner as uniform continuity and continuity. Riemann integrability is simply a special case of integrability, with particular properties that are worth noting. This point of view has implications for the treatment of other topics, particularly continuity and differentiability.

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)

CK-12 Calculus Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Calculus Student Edition. The solution guide is available upon request.

This article includes a menu of post-reading activities for use with any nonfiction text. Students spend $50 on their choice of activities.

This lesson using activities to help students enjoy studying math revising rules ,vocab and their learning Knowledge .

This site explains how teachers can tier activities in their World Language classrooms. It includes background information about tiering, steps for teachers to develop tiered activities, and examples of tiered activities.

Differentiation in the Online Classroom is an interactive synchronous training for teachers. It explains why providing content appropriate for every individual is vital to students' success. This module provides ideas and methods for how to meet each students' needs.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"Scientists have uncovered new details about endothelial cell differentiation that could lead to better management of vascular disease. Endothelial cells are often damaged in conditions like coronary artery disease. This damage can be repaired through the transplantation of healthy endothelial cells. But acquiring these cells at the quantities and purity needed for therapeutic transplantation is no easy task. To help solve this problem, the researchers took a closer look at the molecular factors that direct stem cells to adopt an endothelial phenotype. The team started by isolating mononuclear cells from just 1 mL of blood. They later reprogrammed these cells into induced pluripotent stem cells. To accomplish this, they used an optimized, non-integrating protocol – with very good results. The stem cells were then differentiated into endothelial cells, and the researchers tracked gene expression throughout the process..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

In a multi-grade class of fourth, fifth, and sixth graders, students learn to work and communicate in teams. Through projects and a class structure that supports differentiation, Ms. Ehrke is able to keep students challenged and engaged. Her strategies for differentiation and communication can be used in any classroom.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"Mesenchymal stem cells (MSCs) are multifunctional cells with the ability to reduce inflammation and repair tissue when injected directly. But MSC use is controversial, especially in patients with cancer or in cancer remission, as MSCs can release growth factors that can promote tumor growth. Fortunately, new research is showing that certain MSC contents can exert targeted beneficial effects without these drawbacks, most notably, microRNAs packaged inside exosomes. These loaded exosomes can accumulate at sites of tissue damage, and many studies suggest that MSC exosomes can be applied to cancer therapy, gene therapy, drug delivery, regenerative medicine, and other biomedical applications. Further research could reveal new and more effective ways of packaging and transferring exosomes from MSCs to recipient cells, and thereby lead to new methods of treating and monitoring various diseases..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

Grade 1: Module 1 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 1: Module 2 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 1: Module 3 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 1: Module 4 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 2: Module 1 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 2: Module 2 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 2: Module 3 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade 2: Module 4 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade K: Module 1 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.

Grade K: Module 2 of the EL Education K-2 Reading Foundations Skills Block, part of the EL Education K-8 Language Arts Curriculum. The Skills Block provides one hour of structured phonics instruction, to be taught alongside Module Lessons and Labs. For more information on getting started with the K-2 Reading Foundations Skills Block, visit https://curriculum.eleducation.org/about-skills-blocks.