Inclusion Criteria:

          -  Patients must have a histologic diagnosis of meningioma, World Health Organization
             (WHO) grade 2 or 3 (atypical or anaplastic)

          -  Patient's tumor must have a supratentorial component

          -  Patients must have measurable or non-measurable (evaluable) disease recurrence;
             recurrence must be documented by magnetic resonance imaging (MRI) or computed
             tomography (CT) scan

          -  All patients must have developed recurrent disease/progression (evidence of recurrence
             to be established by MRI or CT scan with contrast; there is no limit to the number of
             relapses) after receiving all standard treatments, which must include the following:

               -  Surgical resection, if possible;

               -  Definitive radiation therapy for unresectable meningioma, or for recurrent
                  meningioma after resection (Note: At registration, patients must be at least 28
                  days post-surgery, and must be at least 28 days post-radiation therapy, with
                  resolution of related cytotoxicities down to grade 2)

          -  Patients may have had previous systemic treatment regimens with the exception of
             bevacizumab (no limit to number of prior therapies); a 4 week wash-out period prior to
             registration is mandatory for all systemic treatments

          -  Life expectancy of at least 12 weeks

          -  Karnofsky performance status >= 60%

          -  Patients must have adequate bone marrow, kidney, and liver function, (within 14 days
             prior to registration), defined as:

          -  Absolute neutrophil count (ANC) >= 1500/uL (with/without growth factor)

          -  Hemoglobin (Hgb) >= 9 g/dL (with/without transfusion)

          -  Platelets >= 100,000/L

          -  Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) =< 2.5 x
             institutional upper limit of normal (ULN)

          -  Total bilirubin =< 1.5 x institutional ULN

          -  Serum creatinine =< 1.5 x institutional ULN

          -  Females of child-bearing potential (FOCBP) and males with partners of childbearing
             potential must agree to use adequate contraception prior to study entry and for the
             duration of study treatment; should a female patient become pregnant or suspect she is
             pregnant while participating in this study, she should inform her treating physician
             immediately; likewise, if the female partner of a male patient becomes pregnant or
             suspect she is pregnant, he should inform his treating physician immediately

        NOTE: A FOCBP is any woman (regardless of sexual orientation, having undergone a tubal
        ligation, or remaining celibate by choice) who meets the following criteria:

          -  Has not undergone a hysterectomy or bilateral oophorectomy

          -  Has had menses at any time in the preceding 12 consecutive months (and therefore has
             not been naturally postmenopausal for > 12 months)

               -  FOCBP must have a negative serum or urine pregnancy test within 14 days prior to
                  registration on study

               -  Patients must have the ability to understand and the willingness to sign a
                  written informed consent prior to registration on study

               -  Patients must be able to comply with all protocol requirements

        Exclusion Criteria:

          -  Patients who have had major surgery or significant traumatic injury within 4 weeks
             prior to registration, patients who have not recovered from the side effects of any
             major surgery (defined as requiring general anesthesia), or patients that may require
             major surgery during the course of the study

          -  Patients who have had minor surgical procedures (with the exception of the placement
             of porta cath or other central venous access) within 7 days prior to registration

          -  Patients with infratentorial disease and spinal disease

          -  Patients may not be receiving any other investigational agents; (i.e. 28-day washout
             period from prior investigational drug is required)

          -  Patients may not receive any other anti-cancer therapies, within 28 days prior to
             registration and throughout the duration of this trial

          -  Previous treatment with bevacizumab

          -  Patients who have a history of allergic reactions attributed to compounds of similar
             chemical or biologic composition to bevacizumab are not eligible

          -  Patients with active implanted medical device, a skull defect (such as, missing bone
             with no replacement), a shunt or bullet fragments; examples of active electronic
             devices include deep brain stimulators, spinal cord stimulators, vagus nerve
             stimulators, pacemakers, defibrillators, and programmable shunts

          -  Patients with known sensitivity to conductive hydrogels like the gel used on
             electrocardiogram (ECG) stickers or transcutaneous electrical nerve stimulation (TENS)
             electrodes

          -  Patients with proteinuria within 14 days of registration as demonstrated by either:
             urine protein creatinine (UPC) ratio >= 1.0 at screening OR urine dipstick for
             proteinuria 2+ (patients discovered to have 2+ proteinuria on dipstick urinalysis at
             baseline should undergo a 24-hour urine collection, and must demonstrate =< 1 g of
             protein/24 hours to be eligible)

          -  Patients with a serious non-healing wound, active ulcer, or untreated bone fracture

          -  Patients with evidence of bleeding diathesis or significant coagulopathy (in the
             absence of therapeutic anticoagulation)

          -  Patients with history of hematemesis or hemoptysis (defined as having bright red blood
             of 1/2 teaspoon or more per episode) within 28 days prior to registration

          -  History of myocardial infarction or unstable angina within 6 months of registration

          -  Inadequately controlled hypertension (defined as systolic blood pressure > 150 mmHg
             and /or diastolic blood pressure > 100 mmHg)

          -  History of stroke or transient ischemic attack within 6 months prior to registration

          -  Any prior history of hypertensive crisis or hypertensive encephalopathy

          -  History of abdominal fistula or gastrointestinal perforation within 6 months prior to
             registration

          -  Chronic, systemic treatment with immunosuppressive agents; patients who require a
             stable dose of corticosteroids for control of cerebral edema are eligible; topical or
             inhaled steroids are also allowed

          -  Patients who have any severe and/or uncontrolled intercurrent medical conditions
             including, but not limited to any of the following, are not eligible:

               -  Ongoing or active wound infection requiring concurrent systemic antibiotic
                  treatment; there is no mandatory duration of time that a patient has to be off
                  antibiotics, but the treating physician has to deem the infection as effectively
                  treated prior to enrollment

               -  Symptomatic congestive heart failure

               -  Unstable angina pectoris

               -  Cardiac arrhythmia (New York Heart Association [NYHA] criteria)

               -  Psychiatric illness/social situations that would limit compliance with study
                  requirements, prevent patient comprehension of the nature of, and risk associated
                  with, the study

               -  Any other illness or condition that the treating investigator feels would
                  interfere with study compliance or would compromise the patient's safety or study
                  endpoints

          -  Female patients who are pregnant or nursing are not eligible