Martina Bode - Profile on Academia.edu (original) (raw)

Papers by Martina Bode

Research paper thumbnail of 2 Homogeneous Vector Bundles

− → O X where d(f 1 ∧ f 2 ∧ ... ∧ f k) = Σ 0≤i≤k (−1) i Ψ(f i)f 1 ∧ ... ∧ f i ∧ ... ∧ f k. This i... more − → O X where d(f 1 ∧ f 2 ∧ ... ∧ f k) = Σ 0≤i≤k (−1) i Ψ(f i)f 1 ∧ ... ∧ f i ∧ ... ∧ f k. This is a well defined complex. Lemma 1.2. Suppose that the image of Ψ is equal to the ideal sheaf I Y of a locally complete intersection Y ⊂ X. Further more if rank(F) = codim X Y , then the Koszul complex K(F , Ψ) is exact. Proof. This is just a local question, therefore choose an open cover U = {U i } of X, such that for all open sets U

Research paper thumbnail of Post COVID-19 Pandemic on Modality Preferences, Experiences, and Factors Contributing to Students' Success in Mathematics Courses

Post COVID-19 Pandemic on Modality Preferences, Experiences, and Factors Contributing to Students' Success in Mathematics Courses

EDULEARN Proceedings

Research paper thumbnail of Student Self-Efficacy and Impact of COVID-19 on Active Learning in College Algebra Through Calculus Courses

Student Self-Efficacy and Impact of COVID-19 on Active Learning in College Algebra Through Calculus Courses

EDULEARN proceedings, Jul 1, 2022

Research paper thumbnail of A Clicker Approach to Teaching Calculus

Clickers (electronic voting systems) are all the buzz in higher education these days as many univ... more Clickers (electronic voting systems) are all the buzz in higher education these days as many universities and colleges invest significant sums of money to integrate these systems into their classrooms. But what are clickers? Are they just another high-tech gimmick, or can they really be used to improve learning? Can clickers be used efficiently in calculus classes? In an ideal world, students would take calculus for the sheer love of it. The reality is, however, that calculus is a service course, and most students take it to fulfill university requirements. Engaging students in calculus classes thus can be a challenge. Furthermore, in traditional lectures, students passively take notes, at times barely processing the material as they struggle to keep their attention focused for an hour. Students often fear that they are alone in not understanding the material and are at times afraid of asking questions in class. At the end of class, both students and instructor may leave without knowing whether the material has been understood. Clickers can be used to address these challenges. The term "clickers" refers to the student input devices (see Figure ) of electronic voting systems. These systems allow

Research paper thumbnail of A clicker approach to teaching calculus

Notices of the American Mathematical Society, 2009

Clickers (electronic voting systems) are all the buzz in higher education these days as many univ... more Clickers (electronic voting systems) are all the buzz in higher education these days as many universities and colleges invest significant sums of money to integrate these systems into their classrooms. But what are clickers? Are they just another high-tech gimmick, or can they really be used to improve learning? Can clickers be used efficiently in calculus classes? In an ideal world, students would take calculus for the sheer love of it. The reality is, however, that calculus is a service course, and most students take it to fulfill university requirements. Engaging students in calculus classes thus can be a challenge. Furthermore, in traditional lectures, students passively take notes, at times barely processing the material as they struggle to keep their attention focused for an hour. Students often fear that they are alone in not understanding the material and are at times afraid of asking questions in class. At the end of class, both students and instructor may leave without kno...

Research paper thumbnail of Moving Large Lectures to Collaborative Learning in Newly Designed Classrooms

Moving Large Lectures to Collaborative Learning in Newly Designed Classrooms

EDULEARN19 Proceedings, 2019

Research paper thumbnail of Homogeneous Vector Bundles on Symplectic Grassmannians

In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grass... more In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grassmannian SpGr(2,N) of isotropic 2-planes are discussed.

Research paper thumbnail of Online Grading Platforms, Improve Quality and Efficiency of Grading!

Online Grading Platforms, Improve Quality and Efficiency of Grading!

EDULEARN18 Proceedings

Research paper thumbnail of Integrating Collaborative Online Grading Platforms into the Coordination of Calculus: A Case Study

Integrating Collaborative Online Grading Platforms into the Coordination of Calculus: A Case Study

PRIMUS

Research paper thumbnail of Homogeneous Vector Bundles on Symplectic Grassmannians

In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grass... more In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grassmannian SpGr(2,N) of isotropic 2-planes are discussed.

Research paper thumbnail of A Clicker Approach to Teaching Calculus

Notices of the American …, 2009

Clickers (electronic voting systems) are all the buzz in higher education these days as many univ... more Clickers (electronic voting systems) are all the buzz in higher education these days as many universities and colleges invest significant sums of money to integrate these systems into their classrooms. But what are clickers? Are they just another high-tech gimmick, or can they ...

Research paper thumbnail of A Case Study of Student and Instructor Reactions to a Calculus E-Book

A Case Study of Student and Instructor Reactions to a Calculus E-Book

PRIMUS, 2014

Research paper thumbnail of 2 Homogeneous Vector Bundles

− → O X where d(f 1 ∧ f 2 ∧ ... ∧ f k) = Σ 0≤i≤k (−1) i Ψ(f i)f 1 ∧ ... ∧ f i ∧ ... ∧ f k. This i... more − → O X where d(f 1 ∧ f 2 ∧ ... ∧ f k) = Σ 0≤i≤k (−1) i Ψ(f i)f 1 ∧ ... ∧ f i ∧ ... ∧ f k. This is a well defined complex. Lemma 1.2. Suppose that the image of Ψ is equal to the ideal sheaf I Y of a locally complete intersection Y ⊂ X. Further more if rank(F) = codim X Y , then the Koszul complex K(F , Ψ) is exact. Proof. This is just a local question, therefore choose an open cover U = {U i } of X, such that for all open sets U

Research paper thumbnail of Post COVID-19 Pandemic on Modality Preferences, Experiences, and Factors Contributing to Students' Success in Mathematics Courses

Post COVID-19 Pandemic on Modality Preferences, Experiences, and Factors Contributing to Students' Success in Mathematics Courses

EDULEARN Proceedings

Research paper thumbnail of Student Self-Efficacy and Impact of COVID-19 on Active Learning in College Algebra Through Calculus Courses

Student Self-Efficacy and Impact of COVID-19 on Active Learning in College Algebra Through Calculus Courses

EDULEARN proceedings, Jul 1, 2022

Research paper thumbnail of A Clicker Approach to Teaching Calculus

Clickers (electronic voting systems) are all the buzz in higher education these days as many univ... more Clickers (electronic voting systems) are all the buzz in higher education these days as many universities and colleges invest significant sums of money to integrate these systems into their classrooms. But what are clickers? Are they just another high-tech gimmick, or can they really be used to improve learning? Can clickers be used efficiently in calculus classes? In an ideal world, students would take calculus for the sheer love of it. The reality is, however, that calculus is a service course, and most students take it to fulfill university requirements. Engaging students in calculus classes thus can be a challenge. Furthermore, in traditional lectures, students passively take notes, at times barely processing the material as they struggle to keep their attention focused for an hour. Students often fear that they are alone in not understanding the material and are at times afraid of asking questions in class. At the end of class, both students and instructor may leave without knowing whether the material has been understood. Clickers can be used to address these challenges. The term "clickers" refers to the student input devices (see Figure ) of electronic voting systems. These systems allow

Research paper thumbnail of A clicker approach to teaching calculus

Notices of the American Mathematical Society, 2009

Clickers (electronic voting systems) are all the buzz in higher education these days as many univ... more Clickers (electronic voting systems) are all the buzz in higher education these days as many universities and colleges invest significant sums of money to integrate these systems into their classrooms. But what are clickers? Are they just another high-tech gimmick, or can they really be used to improve learning? Can clickers be used efficiently in calculus classes? In an ideal world, students would take calculus for the sheer love of it. The reality is, however, that calculus is a service course, and most students take it to fulfill university requirements. Engaging students in calculus classes thus can be a challenge. Furthermore, in traditional lectures, students passively take notes, at times barely processing the material as they struggle to keep their attention focused for an hour. Students often fear that they are alone in not understanding the material and are at times afraid of asking questions in class. At the end of class, both students and instructor may leave without kno...

Research paper thumbnail of Moving Large Lectures to Collaborative Learning in Newly Designed Classrooms

Moving Large Lectures to Collaborative Learning in Newly Designed Classrooms

EDULEARN19 Proceedings, 2019

Research paper thumbnail of Homogeneous Vector Bundles on Symplectic Grassmannians

In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grass... more In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grassmannian SpGr(2,N) of isotropic 2-planes are discussed.

Research paper thumbnail of Online Grading Platforms, Improve Quality and Efficiency of Grading!

Online Grading Platforms, Improve Quality and Efficiency of Grading!

EDULEARN18 Proceedings

Research paper thumbnail of Integrating Collaborative Online Grading Platforms into the Coordination of Calculus: A Case Study

Integrating Collaborative Online Grading Platforms into the Coordination of Calculus: A Case Study

PRIMUS

Research paper thumbnail of Homogeneous Vector Bundles on Symplectic Grassmannians

In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grass... more In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grassmannian SpGr(2,N) of isotropic 2-planes are discussed.

Research paper thumbnail of A Clicker Approach to Teaching Calculus

Notices of the American …, 2009

Clickers (electronic voting systems) are all the buzz in higher education these days as many univ... more Clickers (electronic voting systems) are all the buzz in higher education these days as many universities and colleges invest significant sums of money to integrate these systems into their classrooms. But what are clickers? Are they just another high-tech gimmick, or can they ...

Research paper thumbnail of A Case Study of Student and Instructor Reactions to a Calculus E-Book

A Case Study of Student and Instructor Reactions to a Calculus E-Book

PRIMUS, 2014